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Simplifying 6(v + -2) + -1 = -3(-9v + 9) + -9v Reorder the terms: 6(-2 + v) + -1 = -3(-9v + 9) + -9v (-2 * 6 + v * 6) + -1 = -3(-9v + 9) + -9v (-12 + 6v) + -1 = -3(-9v + 9) + -9v Reorder the terms: -12 + -1 + 6v = -3(-9v + 9) + -9v Combine like terms: -12 + -1 = -13 -13 + 6v = -3(-9v + 9) + -9v Reorder the terms: -13 + 6v = -3(9 + -9v) + -9v -13 + 6v = (9 * -3 + -9v * -3) + -9v -13 + 6v = (-27 + 27v) + -9v Combine like terms: 27v + -9v = 18v -13 + 6v = -27 + 18v Solving -13 + 6v = -27 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -13 + 6v + -18v = -27 + 18v + -18v Combine like terms: 6v + -18v = -12v -13 + -12v = -27 + 18v + -18v Combine like terms: 18v + -18v = 0 -13 + -12v = -27 + 0 -13 + -12v = -27 Add '13' to each side of the equation. -13 + 13 + -12v = -27 + 13 Combine like terms: -13 + 13 = 0 0 + -12v = -27 + 13 -12v = -27 + 13 Combine like terms: -27 + 13 = -14 -12v = -14 Divide each side by '-12'. v = 1.166666667 Simplifying v = 1.166666667
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