Let's solve your equation step-by-step.<span><span><span>16</span><span>(<span>a−4</span>)</span></span>=<span><span>13</span><span>(<span><span>2a</span>+4</span>)</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>16</span><span>(<span>a−4</span>)</span></span>=<span><span>13</span><span>(<span><span>2a</span>+4</span>)</span></span></span><span><span><span><span>(<span>16</span>)</span><span>(a)</span></span>+<span><span>(<span>16</span>)</span><span>(<span>−4</span>)</span></span></span>=<span><span><span>(<span>13</span>)</span><span>(<span>2a</span>)</span></span>+<span><span>(<span>13</span>)</span><span>(4)</span></span></span></span>(Distribute)<span><span><span><span>16</span>a</span>+<span><span>−2</span>3</span></span>=<span><span><span>23</span>a</span>+<span>43</span></span></span>Step 2: Subtract 2/3a from both sides.<span><span><span><span><span>16</span>a</span>+<span><span>−2</span>3</span></span>−<span><span>23</span>a</span></span>=<span><span><span><span>23</span>a</span>+<span>43</span></span>−<span><span>23</span>a</span></span></span><span><span><span><span><span>−1</span>2</span>a</span>+<span><span>−2</span>3</span></span>=<span>43</span></span>Step 3: Add 2/3 to both sides.<span><span><span><span><span><span>−1</span>2</span>a</span>+<span><span>−2</span>3</span></span>+<span>23</span></span>=<span><span>43</span>+<span>23</span></span></span><span><span><span><span>−1</span>2</span>a</span>=2</span>Step 4: Multiply both sides by 2/(-1).<span><span><span>(<span>2<span>−1</span></span>)</span>*<span>(<span><span><span>−1</span>2</span>a</span>)</span></span>=<span><span>(<span>2<span>−1</span></span>)</span>*<span>(2)</span></span></span><span>a=<span>−4</span></span>
