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Simplifying 3(4 + 8v) = 5v + -7 (4 * 3 + 8v * 3) = 5v + -7 (12 + 24v) = 5v + -7 Reorder the terms: 12 + 24v = -7 + 5v Solving 12 + 24v = -7 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 12 + 24v + -5v = -7 + 5v + -5v Combine like terms: 24v + -5v = 19v 12 + 19v = -7 + 5v + -5v Combine like terms: 5v + -5v = 0 12 + 19v = -7 + 0 12 + 19v = -7 Add '-12' to each side of the equation. 12 + -12 + 19v = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 19v = -7 + -12 19v = -7 + -12 Combine like terms: -7 + -12 = -19 19v = -19 Divide each side by '19'. v = -1 Simplifying v = -1
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