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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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