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Simplifying 3(v + 5) = 12 Reorder the terms: 3(5 + v) = 12 (5 * 3 + v * 3) = 12 (15 + 3v) = 12 Solving 15 + 3v = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3v = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 3v = 12 + -15 3v = 12 + -15 Combine like terms: 12 + -15 = -3 3v = -3 Divide each side by '3'. v = -1 Simplifying v = -1
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