2(a -3) + 4b - 2(a -b -3) + 5
A. 6b+5
B. 8b-2
C. 6b-5
D. No simplified answer
2 answers:
Let's simplify step-by-step.<span><span><span><span>
2<span>(<span>a−3</span>)</span></span>+<span>4b</span></span>−<span>2<span>(<span><span>a−b</span>−3</span>)</span></span></span>+5</span>
Distribute:<span>
=<span><span><span><span><span><span><span><span>(2)</span><span>(a)</span></span>+<span><span>(2)</span><span>(<span>−3</span>)</span></span></span>+<span>4b</span></span>+<span><span>(<span>−2</span>)</span><span>(a)</span></span></span>+<span><span>(<span>−2</span>)</span><span>(<span>−b</span>)</span></span></span>+<span><span>(<span>−2</span>)</span><span>(<span>−3</span>)</span></span></span>+5</span></span><span>
=<span><span><span><span><span><span><span><span><span>2a</span>+</span>−6</span>+<span>4b</span></span>+</span>−<span>2a</span></span>+<span>2b</span></span>+6</span>+5</span></span>
Combine Like Terms:<span>
=<span><span><span><span><span><span><span>2a</span>+<span>−6</span></span>+<span>4b</span></span>+<span>−<span>2a</span></span></span>+<span>2b</span></span>+6</span>+5</span></span><span>
=<span><span><span>(<span><span>2a</span>+<span>−<span>2a</span></span></span>)</span>+<span>(<span><span>4b</span>+<span>2b</span></span>)</span></span>+<span>(<span><span><span>−6</span>+6</span>+5</span>)</span></span></span><span>
=<span><span>6b</span>+5</span></span><span>
Answer : </span>=6b+5
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