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Simplifying 3(4 + -1v) = -2v + 15 (4 * 3 + -1v * 3) = -2v + 15 (12 + -3v) = -2v + 15 Reorder the terms: 12 + -3v = 15 + -2v Solving 12 + -3v = 15 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 12 + -3v + 2v = 15 + -2v + 2v Combine like terms: -3v + 2v = -1v 12 + -1v = 15 + -2v + 2v Combine like terms: -2v + 2v = 0 12 + -1v = 15 + 0 12 + -1v = 15 Add '-12' to each side of the equation. 12 + -12 + -1v = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -1v = 15 + -12 -1v = 15 + -12 Combine like terms: 15 + -12 = 3 -1v = 3 Divide each side by '-1'. v = -3 Simplifying v = -3
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