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Simplifying 9(v + -3) = -8v + 41 Reorder the terms: 9(-3 + v) = -8v + 41 (-3 * 9 + v * 9) = -8v + 41 (-27 + 9v) = -8v + 41 Reorder the terms: -27 + 9v = 41 + -8v Solving -27 + 9v = 41 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -27 + 9v + 8v = 41 + -8v + 8v Combine like terms: 9v + 8v = 17v -27 + 17v = 41 + -8v + 8v Combine like terms: -8v + 8v = 0 -27 + 17v = 41 + 0 -27 + 17v = 41 Add '27' to each side of the equation. -27 + 27 + 17v = 41 + 27 Combine like terms: -27 + 27 = 0 0 + 17v = 41 + 27 17v = 41 + 27 Combine like terms: 41 + 27 = 68 17v = 68 Divide each side by '17'. v = 4 Simplifying v = 4
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