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