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Simplifying 3(v + 1) = 2(v + -5) Reorder the terms: 3(1 + v) = 2(v + -5) (1 * 3 + v * 3) = 2(v + -5) (3 + 3v) = 2(v + -5) Reorder the terms: 3 + 3v = 2(-5 + v) 3 + 3v = (-5 * 2 + v * 2) 3 + 3v = (-10 + 2v) Solving 3 + 3v = -10 + 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. 3 + 3v + -2v = -10 + 2v + -2v Combine like terms: 3v + -2v = 1v 3 + 1v = -10 + 2v + -2v Combine like terms: 2v + -2v = 0 3 + 1v = -10 + 0 3 + 1v = -10 Add '-3' to each side of the equation. 3 + -3 + 1v = -10 + -3 Combine like terms: 3 + -3 = 0 0 + 1v = -10 + -3 1v = -10 + -3 Combine like terms: -10 + -3 = -13 1v = -13 Divide each side by '1'. v = -13 Simplifying v = -13
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