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Simplifying 2(v + -1) = 7v + -12 Reorder the terms: 2(-1 + v) = 7v + -12 (-1 * 2 + v * 2) = 7v + -12 (-2 + 2v) = 7v + -12 Reorder the terms: -2 + 2v = -12 + 7v Solving -2 + 2v = -12 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -2 + 2v + -7v = -12 + 7v + -7v Combine like terms: 2v + -7v = -5v -2 + -5v = -12 + 7v + -7v Combine like terms: 7v + -7v = 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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