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Simplifying -12 + 2v + -18v = 6(-6v + 18) Combine like terms: 2v + -18v = -16v -12 + -16v = 6(-6v + 18) Reorder the terms: -12 + -16v = 6(18 + -6v) -12 + -16v = (18 * 6 + -6v * 6) -12 + -16v = (108 + -36v) Solving -12 + -16v = 108 + -36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '36v' to each side of the equation. -12 + -16v + 36v = 108 + -36v + 36v Combine like terms: -16v + 36v = 20v -12 + 20v = 108 + -36v + 36v Combine like terms: -36v + 36v = 0 -12 + 20v = 108 + 0 -12 + 20v = 108 Add '12' to each side of the equation. -12 + 12 + 20v = 108 + 12 Combine like terms: -12 + 12 = 0 0 + 20v = 108 + 12 20v = 108 + 12 Combine like terms: 108 + 12 = 120 20v = 120 Divide each side by '20'. v = 6 Simplifying v = 6
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