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weqwewe [10]
4 years ago
15

9(k-5)-12=7k-(-6 - 2k)

Mathematics
2 answers:
sesenic [268]4 years ago
8 0
9(k - 5) - 12= 7k -(-6 - 2k)
Steps
First, expand 9(k - 5) - 12: 9k - 57
and expand 7k - (-6 - 2k): 9k + 6
which is...
9k - 57 = 9k + 6
Next, add 57 to both sides
9k - 57 + 57 = 9k + 6 + 57
Then simplify,
9k = 9k + 63
Next, subtract 9k from both sides
9k - 9k = 9k + 63 - 9k
Simplify,
0 = 63
The final answer is that the sides aren't equal... which is no solution.

algol [13]4 years ago
3 0
It will help you:)
~~~~~~~~~~~~~~~~
Let's solve your equation step-by-step.
Step 1: Step 1: Simplify both sides of the equation.<span><span><span>9<span>(<span>k−5</span>)</span></span>−12</span>=<span><span>7k</span>−<span>(<span><span>−6</span>−<span>2k</span></span>)</span></span></span><span><span><span>9<span>(<span>k−5</span>)</span></span>−12</span>=<span><span>7k</span>+<span><span>−1</span><span>(<span><span>−6</span>−<span>2k</span></span>)</span></span></span></span><span>(Distribute the Negative Sign)
</span><span><span>9<span>(<span>k−5</span>)</span></span>−12</span>=<span><span><span>7k</span>+<span><span>(<span>−1</span>)</span><span>(<span>−6</span>)</span></span></span>+<span><span>−1</span><span>(<span>−<span>2k</span></span>)
</span></span></span><span><span>9<span>(<span>k−5</span>)</span></span>−12</span>=<span><span><span>7k</span>+6</span>+<span>2<span>k
</span></span></span><span><span><span><span><span><span>(9)</span><span>(k)</span></span>+<span><span>(9)</span><span>(<span>−5</span>)</span></span></span>+</span>−12</span>=<span><span><span>7k</span>+6</span>+<span>2k</span></span></span>(Distribute)
<span><span><span><span><span><span>9k</span>+</span>−45</span>+</span>−12</span>=<span><span><span>7k</span>+6</span>+<span>2k</span></span></span><span><span><span>(<span>9k</span>)</span>+<span>(<span><span>−45</span>+<span>−12</span></span>)</span></span>=<span><span>(<span><span>7k</span>+<span>2k</span></span>)</span>+<span>(6)</span></span></span>(Combine Like Terms)
<span><span><span>9k</span>+<span>−57</span></span>=<span><span>9k</span>+6</span></span><span><span><span>9k</span>−57</span>=<span><span>9k</span>+6
</span></span>Step 2: Subtract 9k from both sides.
<span><span><span><span>9k</span>−57</span>−<span>9k</span></span>=<span><span><span>9k</span>+6</span>−<span>9k</span></span></span><span><span>−57</span>=6</span>Step 3: Add 57 to both sides.<span><span><span>−57</span>+57</span>=<span>6+57</span></span>=63

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