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Simplifying 9(v + -3) = 2v + 8 Reorder the terms: 9(-3 + v) = 2v + 8 (-3 * 9 + v * 9) = 2v + 8 (-27 + 9v) = 2v + 8 Reorder the terms: -27 + 9v = 8 + 2v Solving -27 + 9v = 8 + 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. -27 + 9v + -2v = 8 + 2v + -2v Combine like terms: 9v + -2v = 7v -27 + 7v = 8 + 2v + -2v Combine like terms: 2v + -2v = 0 -27 + 7v = 8 + 0 -27 + 7v = 8 Add '27' to each side of the equation. -27 + 27 + 7v = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 7v = 8 + 27 7v = 8 + 27 Combine like terms: 8 + 27 = 35 7v = 35 Divide each side by '7'. v = 5 Simplifying v = 5
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