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Simplifying 816 = 24(v + 12) Reorder the terms: 816 = 24(12 + v) 816 = (12 * 24 + v * 24) 816 = (288 + 24v) Solving 816 = 288 + 24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24v' to each side of the equation. 816 + -24v = 288 + 24v + -24v Combine like terms: 24v + -24v = 0 816 + -24v = 288 + 0 816 + -24v = 288 Add '-816' to each side of the equation. 816 + -816 + -24v = 288 + -816 Combine like terms: 816 + -816 = 0 0 + -24v = 288 + -816 -24v = 288 + -816 Combine like terms: 288 + -816 = -528 -24v = -528 Divide each side by '-24'. v = 22 Simplifying v = 22
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