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Simplifying -3(-7v + 5) + -9v = 2(v + -2) + -3 Reorder the terms: -3(5 + -7v) + -9v = 2(v + -2) + -3 (5 * -3 + -7v * -3) + -9v = 2(v + -2) + -3 (-15 + 21v) + -9v = 2(v + -2) + -3 Combine like terms: 21v + -9v = 12v -15 + 12v = 2(v + -2) + -3 Reorder the terms: -15 + 12v = 2(-2 + v) + -3 -15 + 12v = (-2 * 2 + v * 2) + -3 -15 + 12v = (-4 + 2v) + -3 Reorder the terms: -15 + 12v = -4 + -3 + 2v Combine like terms: -4 + -3 = -7 -15 + 12v = -7 + 2v Solving -15 + 12v = -7 + 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. -15 + 12v + -2v = -7 + 2v + -2v Combine like terms: 12v + -2v = 10v -15 + 10v = -7 + 2v + -2v Combine like terms: 2v + -2v = 0 -15 + 10v = -7 + 0 -15 + 10v = -7 Add '15' to each side of the equation. -15 + 15 + 10v = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 10v = -7 + 15 10v = -7 + 15 Combine like terms: -7 + 15 = 8 10v = 8 Divide each side by '10'. v = 0.8 Simplifying v = 0.8
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