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Simplifying 2(v + -9) = -5v + -32 Reorder the terms: 2(-9 + v) = -5v + -32 (-9 * 2 + v * 2) = -5v + -32 (-18 + 2v) = -5v + -32 Reorder the terms: -18 + 2v = -32 + -5v Solving -18 + 2v = -32 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -18 + 2v + 5v = -32 + -5v + 5v Combine like terms: 2v + 5v = 7v -18 + 7v = -32 + -5v + 5v Combine like terms: -5v + 5v = 0 -18 + 7v = -32 + 0 -18 + 7v = -32 Add '18' to each side of the equation. -18 + 18 + 7v = -32 + 18 Combine like terms: -18 + 18 = 0 0 + 7v = -32 + 18 7v = -32 + 18 Combine like terms: -32 + 18 = -14 7v = -14 Divide each side by '7'. v = -2 Simplifying v = -2
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