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Simplifying -3(v + 1) = -5(v + 12) Reorder the terms: -3(1 + v) = -5(v + 12) (1 * -3 + v * -3) = -5(v + 12) (-3 + -3v) = -5(v + 12) Reorder the terms: -3 + -3v = -5(12 + v) -3 + -3v = (12 * -5 + v * -5) -3 + -3v = (-60 + -5v) Solving -3 + -3v = -60 + -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. -3 + -3v + 5v = -60 + -5v + 5v Combine like terms: -3v + 5v = 2v -3 + 2v = -60 + -5v + 5v Combine like terms: -5v + 5v = 0 -3 + 2v = -60 + 0 -3 + 2v = -60 Add '3' to each side of the equation. -3 + 3 + 2v = -60 + 3 Combine like terms: -3 + 3 = 0 0 + 2v = -60 + 3 2v = -60 + 3 Combine like terms: -60 + 3 = -57 2v = -57 Divide each side by '2'. v = -28.5 Simplifying v = -28.5
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