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Simplifying 4(v + -2) = -4(v + -8) + -8v Reorder the terms: 4(-2 + v) = -4(v + -8) + -8v (-2 * 4 + v * 4) = -4(v + -8) + -8v (-8 + 4v) = -4(v + -8) + -8v Reorder the terms: -8 + 4v = -4(-8 + v) + -8v -8 + 4v = (-8 * -4 + v * -4) + -8v -8 + 4v = (32 + -4v) + -8v Combine like terms: -4v + -8v = -12v -8 + 4v = 32 + -12v Solving -8 + 4v = 32 + -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. -8 + 4v + 12v = 32 + -12v + 12v Combine like terms: 4v + 12v = 16v -8 + 16v = 32 + -12v + 12v Combine like terms: -12v + 12v = 0 -8 + 16v = 32 + 0 -8 + 16v = 32 Add '8' to each side of the equation. -8 + 8 + 16v = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 16v = 32 + 8 16v = 32 + 8 Combine like terms: 32 + 8 = 40 16v = 40 Divide each side by '16'. v = 2.5 Simplifying v = 2.5
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