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Simplifying -2v + 30 = -9(v + -1) Reorder the terms: 30 + -2v = -9(v + -1) Reorder the terms: 30 + -2v = -9(-1 + v) 30 + -2v = (-1 * -9 + v * -9) 30 + -2v = (9 + -9v) Solving 30 + -2v = 9 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 30 + -2v + 9v = 9 + -9v + 9v Combine like terms: -2v + 9v = 7v 30 + 7v = 9 + -9v + 9v Combine like terms: -9v + 9v = 0 30 + 7v = 9 + 0 30 + 7v = 9 Add '-30' to each side of the equation. 30 + -30 + 7v = 9 + -30 Combine like terms: 30 + -30 = 0 0 + 7v = 9 + -30 7v = 9 + -30 Combine like terms: 9 + -30 = -21 7v = -21 Divide each side by '7'. v = -3 Simplifying v = -3
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