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Simplifying 2(v + 5) = 9v + 17 Reorder the terms: 2(5 + v) = 9v + 17 (5 * 2 + v * 2) = 9v + 17 (10 + 2v) = 9v + 17 Reorder the terms: 10 + 2v = 17 + 9v Solving 10 + 2v = 17 + 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. 10 + 2v + -9v = 17 + 9v + -9v Combine like terms: 2v + -9v = -7v 10 + -7v = 17 + 9v + -9v Combine like terms: 9v + -9v = 0 10 + -7v = 17 + 0 10 + -7v = 17 Add '-10' to each side of the equation. 10 + -10 + -7v = 17 + -10 Combine like terms: 10 + -10 = 0 0 + -7v = 17 + -10 -7v = 17 + -10 Combine like terms: 17 + -10 = 7 -7v = 7 Divide each side by '-7'. v = -1 Simplifying v = -1
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