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Simplifying -7v + 4 = -9(v + -2) Reorder the terms: 4 + -7v = -9(v + -2) Reorder the terms: 4 + -7v = -9(-2 + v) 4 + -7v = (-2 * -9 + v * -9) 4 + -7v = (18 + -9v) Solving 4 + -7v = 18 + -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. 4 + -7v + 9v = 18 + -9v + 9v Combine like terms: -7v + 9v = 2v 4 + 2v = 18 + -9v + 9v Combine like terms: -9v + 9v = 0 4 + 2v = 18 + 0 4 + 2v = 18 Add '-4' to each side of the equation. 4 + -4 + 2v = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 2v = 18 + -4 2v = 18 + -4 Combine like terms: 18 + -4 = 14 2v = 14 Divide each side by '2'. v = 7 Simplifying v = 7
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