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Simplifying 2(v + 9) = 9v + -38 Reorder the terms: 2(9 + v) = 9v + -38 (9 * 2 + v * 2) = 9v + -38 (18 + 2v) = 9v + -38 Reorder the terms: 18 + 2v = -38 + 9v Solving 18 + 2v = -38 + 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. 18 + 2v + -9v = -38 + 9v + -9v Combine like terms: 2v + -9v = -7v 18 + -7v = -38 + 9v + -9v Combine like terms: 9v + -9v = 0 18 + -7v = -38 + 0 18 + -7v = -38 Add '-18' to each side of the equation. 18 + -18 + -7v = -38 + -18 Combine like terms: 18 + -18 = 0 0 + -7v = -38 + -18 -7v = -38 + -18 Combine like terms: -38 + -18 = -56 -7v = -56 Divide each side by '-7'. v = 8 Simplifying v = 8
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