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Simplifying -2(v + 1) = -12 + 3v Reorder the terms: -2(1 + v) = -12 + 3v (1 * -2 + v * -2) = -12 + 3v (-2 + -2v) = -12 + 3v Solving -2 + -2v = -12 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -2 + -2v + -3v = -12 + 3v + -3v Combine like terms: -2v + -3v = -5v -2 + -5v = -12 + 3v + -3v Combine like terms: 3v + -3v = 0 -2 + -5v = -12 + 0 -2 + -5v = -12 Add '2' to each side of the equation. -2 + 2 + -5v = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -5v = -12 + 2 -5v = -12 + 2 Combine like terms: -12 + 2 = -10 -5v = -10 Divide each side by '-5'. v = 2 Simplifying v = 2
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