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Simplifying -2(v + 9) = -7v + 32 Reorder the terms: -2(9 + v) = -7v + 32 (9 * -2 + v * -2) = -7v + 32 (-18 + -2v) = -7v + 32 Reorder the terms: -18 + -2v = 32 + -7v Solving -18 + -2v = 32 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -18 + -2v + 7v = 32 + -7v + 7v Combine like terms: -2v + 7v = 5v -18 + 5v = 32 + -7v + 7v Combine like terms: -7v + 7v = 0 -18 + 5v = 32 + 0 -18 + 5v = 32 Add '18' to each side of the equation. -18 + 18 + 5v = 32 + 18 Combine like terms: -18 + 18 = 0 0 + 5v = 32 + 18 5v = 32 + 18 Combine like terms: 32 + 18 = 50 5v = 50 Divide each side by '5'. v = 10 Simplifying v = 10
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