Let's solve your equation step-by-step. <span><span><span><span>3v</span>+9</span>−<span>8v</span></span>=<span>−31 </span></span>Step 1: Simplify both sides of the equation. <span><span><span>−<span>5v</span></span>+9</span>=<span>−31 </span></span>Step 2: Subtract 9 from both sides. <span><span><span><span>−<span>5v</span></span>+9</span>−9</span>=<span><span>−31</span>−9</span></span><span><span>−<span>5v</span></span>=<span>−40 </span></span>Step 3: Divide both sides by -5. <span><span><span>−<span>5v</span></span><span>−5</span></span>=<span><span>−40</span><span>−5 </span></span></span><span>v=<span>8</span></span>