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Simplifying 2(6v + -4) = -1(-6v + -8) + 4v Reorder the terms: 2(-4 + 6v) = -1(-6v + -8) + 4v (-4 * 2 + 6v * 2) = -1(-6v + -8) + 4v (-8 + 12v) = -1(-6v + -8) + 4v Reorder the terms: -8 + 12v = -1(-8 + -6v) + 4v -8 + 12v = (-8 * -1 + -6v * -1) + 4v -8 + 12v = (8 + 6v) + 4v Combine like terms: 6v + 4v = 10v -8 + 12v = 8 + 10v Solving -8 + 12v = 8 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -8 + 12v + -10v = 8 + 10v + -10v Combine like terms: 12v + -10v = 2v -8 + 2v = 8 + 10v + -10v Combine like terms: 10v + -10v = 0 -8 + 2v = 8 + 0 -8 + 2v = 8 Add '8' to each side of the equation. -8 + 8 + 2v = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 2v = 8 + 8 2v = 8 + 8 Combine like terms: 8 + 8 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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