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Simplifying 3(v + -1) = -7 + 2v Reorder the terms: 3(-1 + v) = -7 + 2v (-1 * 3 + v * 3) = -7 + 2v (-3 + 3v) = -7 + 2v Solving -3 + 3v = -7 + 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 = -7 + 2v + -2v Combine like terms: 3v + -2v = 1v -3 + 1v = -7 + 2v + -2v Combine like terms: 2v + -2v = 0 -3 + 1v = -7 + 0 -3 + 1v = -7 Add '3' to each side of the equation. -3 + 3 + 1v = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 1v = -7 + 3 1v = -7 + 3 Combine like terms: -7 + 3 = -4 1v = -4 Divide each side by '1'. v = -4 Simplifying v = -4
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