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Gelneren [198K]
3 years ago
13

SOLVE Please Muiti-step equations 7p-(3p+4)=-2(2p-1)+10

Mathematics
1 answer:
mihalych1998 [28]3 years ago
6 0
<span><span><span>7p</span>−<span>(<span><span>3p</span>+4</span>)</span></span>=<span><span>−<span>2<span>(<span><span>2p</span>−1</span>)</span></span></span>+10
</span></span><span><span><span><span>7p</span>+<span><span>−1</span><span>(<span><span>3p</span>+4</span>)</span></span></span>=<span><span>−<span>2<span>(<span><span>2p</span>−1</span>)</span></span></span>+10</span></span>(Distribute the Negative Sign)
</span><span><span><span><span>7p</span>+<span><span>−1</span><span>(<span>3p</span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(4)</span></span></span>=<span><span>−<span>2<span>(<span><span>2p</span>−1</span>)</span></span></span>+10
</span></span><span><span><span><span><span><span>7p</span>+</span>−<span>3p</span></span>+</span>−4</span>=<span><span>−<span>2<span>(<span><span>2p</span>−1</span>)</span></span></span>+10
</span></span><span><span><span><span><span><span><span>7p</span>+</span>−<span>3p</span></span>+</span>−4</span>=<span><span><span><span>(<span>−2</span>)</span><span>(<span>2p</span>)</span></span>+<span><span>(<span>−2</span>)</span><span>(<span>−1</span>)</span></span></span>+10</span></span>(Distribute)
</span><span><span><span><span><span><span>7p</span>+</span>−<span>3p</span></span>+</span>−4</span>=<span><span><span>−<span>4p</span></span>+2</span>+10
</span></span><span><span><span><span>(<span><span>7p</span>+<span>−<span>3p</span></span></span>)</span>+<span>(<span>−4</span>)</span></span>=<span><span>(<span>−<span>4p</span></span>)</span>+<span>(<span>2+10</span>)</span></span></span>(Combine Like Terms)
</span><span><span><span>4p</span>+<span>−4</span></span>=<span><span>−<span>4p</span></span>+12
</span></span><span><span><span>4p</span>−4</span>=<span><span>−<span>4p</span></span>+12
</span></span><span>Add 4p to both sides.
</span><span><span><span><span>4p</span>−4</span>+<span>4p</span></span>=<span><span><span>−<span>4p</span></span>+12</span>+<span>4p
</span></span></span><span><span><span>8p</span>−4</span>=12
</span>Add 4 to both sides.
<span><span><span><span>8p</span>−4</span>+4</span>=<span>12+4
</span></span><span><span>8p</span>=16
</span><span>Divide both sides by 8 
p=2 <----final answer :)  
</span><span />
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