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Simplifying 9(v + -8) = 2v + -9 Reorder the terms: 9(-8 + v) = 2v + -9 (-8 * 9 + v * 9) = 2v + -9 (-72 + 9v) = 2v + -9 Reorder the terms: -72 + 9v = -9 + 2v Solving -72 + 9v = -9 + 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. -72 + 9v + -2v = -9 + 2v + -2v Combine like terms: 9v + -2v = 7v -72 + 7v = -9 + 2v + -2v Combine like terms: 2v + -2v = 0 -72 + 7v = -9 + 0 -72 + 7v = -9 Add '72' to each side of the equation. -72 + 72 + 7v = -9 + 72 Combine like terms: -72 + 72 = 0 0 + 7v = -9 + 72 7v = -9 + 72 Combine like terms: -9 + 72 = 63 7v = 63 Divide each side by '7'. v = 9 Simplifying v = 9
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