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Simplifying -2(-9v + 9) + -6v = 2(v + -7) + -8 Reorder the terms: -2(9 + -9v) + -6v = 2(v + -7) + -8 (9 * -2 + -9v * -2) + -6v = 2(v + -7) + -8 (-18 + 18v) + -6v = 2(v + -7) + -8 Combine like terms: 18v + -6v = 12v -18 + 12v = 2(v + -7) + -8 Reorder the terms: -18 + 12v = 2(-7 + v) + -8 -18 + 12v = (-7 * 2 + v * 2) + -8 -18 + 12v = (-14 + 2v) + -8 Reorder the terms: -18 + 12v = -14 + -8 + 2v Combine like terms: -14 + -8 = -22 -18 + 12v = -22 + 2v Solving -18 + 12v = -22 + 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. -18 + 12v + -2v = -22 + 2v + -2v Combine like terms: 12v + -2v = 10v -18 + 10v = -22 + 2v + -2v Combine like terms: 2v + -2v = 0 -18 + 10v = -22 + 0 -18 + 10v = -22 Add '18' to each side of the equation. -18 + 18 + 10v = -22 + 18 Combine like terms: -18 + 18 = 0 0 + 10v = -22 + 18 10v = -22 + 18 Combine like terms: -22 + 18 = -4 10v = -4 Divide each side by '10'. v = -0.4 Simplifying v = -0.4
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