Let's solve your equation step-by-step.<span><span><span><span>−<span>7w</span></span>+17</span>−30</span>=31</span>Step 1: Simplify both sides of the equation.<span><span><span><span>−<span>7w</span></span>+17</span>−30</span>=31</span><span>Simplify: (Show steps)</span><span><span><span>−<span>7w</span></span>−13</span>=31</span>Step 2: Add 13 to both sides.<span><span><span><span>−<span>7w</span></span>−13</span>+13</span>=<span>31+13</span></span><span><span>−<span>7w</span></span>=44</span>Step 3: Divide both sides by -7.<span><span><span>−<span>7w/</span></span><span>−7</span></span>=<span>44/<span>−7</span></span></span><span>w=<span><span>−44/</span>7</span></span>Answer:<span>w=<span><span>−44/</span><span>7</span></span></span>