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Simplifying -3(-6v + 3) + -6v = 2(v + -4) + -5 Reorder the terms: -3(3 + -6v) + -6v = 2(v + -4) + -5 (3 * -3 + -6v * -3) + -6v = 2(v + -4) + -5 (-9 + 18v) + -6v = 2(v + -4) + -5 Combine like terms: 18v + -6v = 12v -9 + 12v = 2(v + -4) + -5 Reorder the terms: -9 + 12v = 2(-4 + v) + -5 -9 + 12v = (-4 * 2 + v * 2) + -5 -9 + 12v = (-8 + 2v) + -5 Reorder the terms: -9 + 12v = -8 + -5 + 2v Combine like terms: -8 + -5 = -13 -9 + 12v = -13 + 2v Solving -9 + 12v = -13 + 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. -9 + 12v + -2v = -13 + 2v + -2v Combine like terms: 12v + -2v = 10v -9 + 10v = -13 + 2v + -2v Combine like terms: 2v + -2v = 0 -9 + 10v = -13 + 0 -9 + 10v = -13 Add '9' to each side of the equation. -9 + 9 + 10v = -13 + 9 Combine like terms: -9 + 9 = 0 0 + 10v = -13 + 9 10v = -13 + 9 Combine like terms: -13 + 9 = -4 10v = -4 Divide each side by '10'. v = -0.4 Simplifying v = -0.4
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