Let's solve the equation step-by-step. <span><span>2<span>(<span><span>4j</span>−16</span>)</span></span>=<span>8<span>(<span>j−4</span>) </span></span></span>Step 1: Simplify both sides of the equation.<span><span>2<span>(<span><span>4j</span>−16</span>)</span></span>=<span>8<span>(<span>j−4</span>) </span></span></span><span>Simplify: (Hide steps)</span><span><span><span><span>(2)</span><span>(<span>4j</span>)</span></span>+<span><span>(2)</span><span>(<span>−16</span>)</span></span></span>=<span><span><span>(8)</span><span>(j)</span></span>+<span><span>(8)</span><span>(<span>−4</span>)</span></span></span></span>(Distribute)<span><span><span><span>8j</span>+</span>−32</span>=<span><span><span>8j</span>+</span>−32</span></span><span><span><span>8j</span>−32</span>=<span><span>8j</span>−32</span></span>Step 2: Subtract 8j from both sides.<span><span><span><span>8j</span>−32</span>−<span>8j</span></span>=<span><span><span>8j</span>−32</span>−<span>8j</span></span></span><span><span>−32</span>=<span>−32 </span></span>Step 3: Add 32 to both sides.<span><span><span>−32</span>+32</span>=<span><span>−32</span>+32</span></span><span>0=0 </span>Answer:<span>All real numbers are solutions.</span>
