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Simplifying 2(v + -8) + -8 = -3(-7v + 4) + -9v Reorder the terms: 2(-8 + v) + -8 = -3(-7v + 4) + -9v (-8 * 2 + v * 2) + -8 = -3(-7v + 4) + -9v (-16 + 2v) + -8 = -3(-7v + 4) + -9v Reorder the terms: -16 + -8 + 2v = -3(-7v + 4) + -9v Combine like terms: -16 + -8 = -24 -24 + 2v = -3(-7v + 4) + -9v Reorder the terms: -24 + 2v = -3(4 + -7v) + -9v -24 + 2v = (4 * -3 + -7v * -3) + -9v -24 + 2v = (-12 + 21v) + -9v Combine like terms: 21v + -9v = 12v -24 + 2v = -12 + 12v Solving -24 + 2v = -12 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -24 + 2v + -12v = -12 + 12v + -12v Combine like terms: 2v + -12v = -10v -24 + -10v = -12 + 12v + -12v Combine like terms: 12v + -12v = 0 -24 + -10v = -12 + 0 -24 + -10v = -12 Add '24' to each side of the equation. -24 + 24 + -10v = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -10v = -12 + 24 -10v = -12 + 24 Combine like terms: -12 + 24 = 12 -10v = 12 Divide each side by '-10'. v = -1.2 Simplifying v = -1.2
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