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Simplifying 3(v + 4) = -2v + -8 Reorder the terms: 3(4 + v) = -2v + -8 (4 * 3 + v * 3) = -2v + -8 (12 + 3v) = -2v + -8 Reorder the terms: 12 + 3v = -8 + -2v Solving 12 + 3v = -8 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 12 + 3v + 2v = -8 + -2v + 2v Combine like terms: 3v + 2v = 5v 12 + 5v = -8 + -2v + 2v Combine like terms: -2v + 2v = 0 12 + 5v = -8 + 0 12 + 5v = -8 Add '-12' to each side of the equation. 12 + -12 + 5v = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 5v = -8 + -12 5v = -8 + -12 Combine like terms: -8 + -12 = -20 5v = -20 Divide each side by '5'. v = -4 Simplifying v = -4
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