Let's solve your inequality step-by-step.<span><span>12+<span>10w</span></span>≥<span>8<span>(<span>w+12</span>)
</span></span></span>Step 1: Simplify both sides of the inequality.<span><span><span>10w</span>+12</span>≥<span><span>8w</span>+96
</span></span>Step 2: Subtract 8w from both sides.<span><span><span><span>10w</span>+12</span>−<span>8w</span></span>≥<span><span><span>8w</span>+96</span>−<span>8w</span></span></span><span><span><span>2w</span>+12</span>≥96
</span>Step 3: Subtract 12 from both sides.<span><span><span><span>2w</span>+12</span>−12</span>≥<span>96−12</span></span><span><span>2w</span>≥84
</span>Step 4: Divide both sides by 2.<span><span><span>2w</span>2</span>≥<span>842</span></span><span>w≥42