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Simplifying -2(v + -2) = 7v + -5 Reorder the terms: -2(-2 + v) = 7v + -5 (-2 * -2 + v * -2) = 7v + -5 (4 + -2v) = 7v + -5 Reorder the terms: 4 + -2v = -5 + 7v Solving 4 + -2v = -5 + 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. 4 + -2v + -7v = -5 + 7v + -7v Combine like terms: -2v + -7v = -9v 4 + -9v = -5 + 7v + -7v Combine like terms: 7v + -7v = 0 4 + -9v = -5 + 0 4 + -9v = -5 Add '-4' to each side of the equation. 4 + -4 + -9v = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -9v = -5 + -4 -9v = -5 + -4 Combine like terms: -5 + -4 = -9 -9v = -9 Divide each side by '-9'. v = 1 Simplifying v = 1
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