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Simplifying -2(-9v + 2) + -3v = 3(v + -5) + -5 Reorder the terms: -2(2 + -9v) + -3v = 3(v + -5) + -5 (2 * -2 + -9v * -2) + -3v = 3(v + -5) + -5 (-4 + 18v) + -3v = 3(v + -5) + -5 Combine like terms: 18v + -3v = 15v -4 + 15v = 3(v + -5) + -5 Reorder the terms: -4 + 15v = 3(-5 + v) + -5 -4 + 15v = (-5 * 3 + v * 3) + -5 -4 + 15v = (-15 + 3v) + -5 Reorder the terms: -4 + 15v = -15 + -5 + 3v Combine like terms: -15 + -5 = -20 -4 + 15v = -20 + 3v Solving -4 + 15v = -20 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -4 + 15v + -3v = -20 + 3v + -3v Combine like terms: 15v + -3v = 12v -4 + 12v = -20 + 3v + -3v Combine like terms: 3v + -3v = 0 -4 + 12v = -20 + 0 -4 + 12v = -20 Add '4' to each side of the equation. -4 + 4 + 12v = -20 + 4 Combine like terms: -4 + 4 = 0 0 + 12v = -20 + 4 12v = -20 + 4 Combine like terms: -20 + 4 = -16 12v = -16 Divide each side by '12'. v = -1.333333333 Simplifying v = -1.333333333
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