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Simplifying 9(v + -3) = 7v + -11 Reorder the terms: 9(-3 + v) = 7v + -11 (-3 * 9 + v * 9) = 7v + -11 (-27 + 9v) = 7v + -11 Reorder the terms: -27 + 9v = -11 + 7v Solving -27 + 9v = -11 + 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. -27 + 9v + -7v = -11 + 7v + -7v Combine like terms: 9v + -7v = 2v -27 + 2v = -11 + 7v + -7v Combine like terms: 7v + -7v = 0 -27 + 2v = -11 + 0 -27 + 2v = -11 Add '27' to each side of the equation. -27 + 27 + 2v = -11 + 27 Combine like terms: -27 + 27 = 0 0 + 2v = -11 + 27 2v = -11 + 27 Combine like terms: -11 + 27 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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