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Simplifying -3(v + -8) = -5v + 12 Reorder the terms: -3(-8 + v) = -5v + 12 (-8 * -3 + v * -3) = -5v + 12 (24 + -3v) = -5v + 12 Reorder the terms: 24 + -3v = 12 + -5v Solving 24 + -3v = 12 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 24 + -3v + 5v = 12 + -5v + 5v Combine like terms: -3v + 5v = 2v 24 + 2v = 12 + -5v + 5v Combine like terms: -5v + 5v = 0 24 + 2v = 12 + 0 24 + 2v = 12 Add '-24' to each side of the equation. 24 + -24 + 2v = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 2v = 12 + -24 2v = 12 + -24 Combine like terms: 12 + -24 = -12 2v = -12 Divide each side by '2'. v = -6 Simplifying v = -6
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