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Simplifying -8(-2v + -3) = 8v + 8 Reorder the terms: -8(-3 + -2v) = 8v + 8 (-3 * -8 + -2v * -8) = 8v + 8 (24 + 16v) = 8v + 8 Reorder the terms: 24 + 16v = 8 + 8v Solving 24 + 16v = 8 + 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. 24 + 16v + -8v = 8 + 8v + -8v Combine like terms: 16v + -8v = 8v 24 + 8v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 24 + 8v = 8 + 0 24 + 8v = 8 Add '-24' to each side of the equation. 24 + -24 + 8v = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 8v = 8 + -24 8v = 8 + -24 Combine like terms: 8 + -24 = -16 8v = -16 Divide each side by '8'. v = -2 Simplifying v = -2
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