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