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Simplifying -9v + 32 = -2(v + -9) Reorder the terms: 32 + -9v = -2(v + -9) Reorder the terms: 32 + -9v = -2(-9 + v) 32 + -9v = (-9 * -2 + v * -2) 32 + -9v = (18 + -2v) Solving 32 + -9v = 18 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 32 + -9v + 2v = 18 + -2v + 2v Combine like terms: -9v + 2v = -7v 32 + -7v = 18 + -2v + 2v Combine like terms: -2v + 2v = 0 32 + -7v = 18 + 0 32 + -7v = 18 Add '-32' to each side of the equation. 32 + -32 + -7v = 18 + -32 Combine like terms: 32 + -32 = 0 0 + -7v = 18 + -32 -7v = 18 + -32 Combine like terms: 18 + -32 = -14 -7v = -14 Divide each side by '-7'. v = 2 Simplifying v = 2
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