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Simplifying -3(-14 + 17v) = 5(-6 + -12v) (-14 * -3 + 17v * -3) = 5(-6 + -12v) (42 + -51v) = 5(-6 + -12v) 42 + -51v = (-6 * 5 + -12v * 5) 42 + -51v = (-30 + -60v) Solving 42 + -51v = -30 + -60v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '60v' to each side of the equation. 42 + -51v + 60v = -30 + -60v + 60v Combine like terms: -51v + 60v = 9v 42 + 9v = -30 + -60v + 60v Combine like terms: -60v + 60v = 0 42 + 9v = -30 + 0 42 + 9v = -30 Add '-42' to each side of the equation. 42 + -42 + 9v = -30 + -42 Combine like terms: 42 + -42 = 0 0 + 9v = -30 + -42 9v = -30 + -42 Combine like terms: -30 + -42 = -72 9v = -72 Divide each side by '9'. v = -8 Simplifying v = -8
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