<span><span>4<span>(<span>n−5</span>)</span></span>=<span><span>6n</span>+8</span></span>Step 1: Simplify both sides of the equation.<span><span>4<span>(<span>n−5</span>)</span></span>=<span><span>6n</span>+8</span></span><span>Simplify: (Show steps)</span><span><span><span>4n</span>−20</span>=<span><span>6n</span>+8</span></span>Step 2: Subtract 6n from both sides.<span><span><span><span>4n</span>−20</span>−<span>6n</span></span>=<span><span><span>6n</span>+8</span>−<span>6n</span></span></span><span><span><span>−<span>2n</span></span>−20</span>=8</span>Step 3: Add 20 to both sides.<span><span><span><span>−<span>2n</span></span>−20</span>+20</span>=<span>8+20</span></span><span><span>−<span>2n</span></span>=28</span>Step 4: Divide both sides by -2.<span><span><span>−<span>2n</span></span><span>−2</span></span>=<span>28<span>−2</span></span></span><span>n=<span>−14</span></span><span>
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Answer:
14s+14
Step-by-step explanation:
2(7s+4)+6
Simplify each term.
Apply the distributive property.
2(7s)+2x4 + 6
Multiply 7 by 2
14s +2 x 4 + 6
Multiply 2 by 4
14s + 8 + 6
Add 8 and 6
14+44
Two lines with slopes say 'm1' and 'm2' will be parallel only when m1 = m2.
<span>Now, consider the second equation: </span><span><span>8x−4y=12</span><span>8x−4y=12</span></span>
<span>Rearranging in the slope intercept form, we get </span><span><span>y=<span><span>8x</span>4</span>−<span>124</span>=2x−3</span><span>y=<span><span>8x</span>4</span>−<span>124</span>=2x−3</span></span>
<span>In order for the two lines to be parallel, the slopes should be equal. Thus </span><span><span>m=2</span></span>