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Simplifying -8(v + -2) = -6v + 32 Reorder the terms: -8(-2 + v) = -6v + 32 (-2 * -8 + v * -8) = -6v + 32 (16 + -8v) = -6v + 32 Reorder the terms: 16 + -8v = 32 + -6v Solving 16 + -8v = 32 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 16 + -8v + 6v = 32 + -6v + 6v Combine like terms: -8v + 6v = -2v 16 + -2v = 32 + -6v + 6v Combine like terms: -6v + 6v = 0 16 + -2v = 32 + 0 16 + -2v = 32 Add '-16' to each side of the equation. 16 + -16 + -2v = 32 + -16 Combine like terms: 16 + -16 = 0 0 + -2v = 32 + -16 -2v = 32 + -16 Combine like terms: 32 + -16 = 16 -2v = 16 Divide each side by '-2'. v = -8 Simplifying v = -8
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