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Simplifying 9(v + -9) + -3v = -8(2v + -1) Reorder the terms: 9(-9 + v) + -3v = -8(2v + -1) (-9 * 9 + v * 9) + -3v = -8(2v + -1) (-81 + 9v) + -3v = -8(2v + -1) Combine like terms: 9v + -3v = 6v -81 + 6v = -8(2v + -1) Reorder the terms: -81 + 6v = -8(-1 + 2v) -81 + 6v = (-1 * -8 + 2v * -8) -81 + 6v = (8 + -16v) Solving -81 + 6v = 8 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. -81 + 6v + 16v = 8 + -16v + 16v Combine like terms: 6v + 16v = 22v -81 + 22v = 8 + -16v + 16v Combine like terms: -16v + 16v = 0 -81 + 22v = 8 + 0 -81 + 22v = 8 Add '81' to each side of the equation. -81 + 81 + 22v = 8 + 81 Combine like terms: -81 + 81 = 0 0 + 22v = 8 + 81 22v = 8 + 81 Combine like terms: 8 + 81 = 89 22v = 89 Divide each side by '22'. v = 4.045454545 Simplifying v = 4.045454545
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