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Simplifying 2(v + 8) = 8(-1v + -8) Reorder the terms: 2(8 + v) = 8(-1v + -8) (8 * 2 + v * 2) = 8(-1v + -8) (16 + 2v) = 8(-1v + -8) Reorder the terms: 16 + 2v = 8(-8 + -1v) 16 + 2v = (-8 * 8 + -1v * 8) 16 + 2v = (-64 + -8v) Solving 16 + 2v = -64 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 16 + 2v + 8v = -64 + -8v + 8v Combine like terms: 2v + 8v = 10v 16 + 10v = -64 + -8v + 8v Combine like terms: -8v + 8v = 0 16 + 10v = -64 + 0 16 + 10v = -64 Add '-16' to each side of the equation. 16 + -16 + 10v = -64 + -16 Combine like terms: 16 + -16 = 0 0 + 10v = -64 + -16 10v = -64 + -16 Combine like terms: -64 + -16 = -80 10v = -80 Divide each side by '10'. v = -8 Simplifying v = -8
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