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