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Simplifying -5(v + -1) = 7v + -7 Reorder the terms: -5(-1 + v) = 7v + -7 (-1 * -5 + v * -5) = 7v + -7 (5 + -5v) = 7v + -7 Reorder the terms: 5 + -5v = -7 + 7v Solving 5 + -5v = -7 + 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. 5 + -5v + -7v = -7 + 7v + -7v Combine like terms: -5v + -7v = -12v 5 + -12v = -7 + 7v + -7v Combine like terms: 7v + -7v = 0 5 + -12v = -7 + 0 5 + -12v = -7 Add '-5' to each side of the equation. 5 + -5 + -12v = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -12v = -7 + -5 -12v = -7 + -5 Combine like terms: -7 + -5 = -12 -12v = -12 Divide each side by '-12'. v = 1 Simplifying v = 1
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