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Simplifying -3(-9v + 6) + -7v = 2(v + -1) + -7 Reorder the terms: -3(6 + -9v) + -7v = 2(v + -1) + -7 (6 * -3 + -9v * -3) + -7v = 2(v + -1) + -7 (-18 + 27v) + -7v = 2(v + -1) + -7 Combine like terms: 27v + -7v = 20v -18 + 20v = 2(v + -1) + -7 Reorder the terms: -18 + 20v = 2(-1 + v) + -7 -18 + 20v = (-1 * 2 + v * 2) + -7 -18 + 20v = (-2 + 2v) + -7 Reorder the terms: -18 + 20v = -2 + -7 + 2v Combine like terms: -2 + -7 = -9 -18 + 20v = -9 + 2v Solving -18 + 20v = -9 + 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 + 20v + -2v = -9 + 2v + -2v Combine like terms: 20v + -2v = 18v -18 + 18v = -9 + 2v + -2v Combine like terms: 2v + -2v = 0 -18 + 18v = -9 + 0 -18 + 18v = -9 Add '18' to each side of the equation. -18 + 18 + 18v = -9 + 18 Combine like terms: -18 + 18 = 0 0 + 18v = -9 + 18 18v = -9 + 18 Combine like terms: -9 + 18 = 9 18v = 9 Divide each side by '18'. v = 0.5 Simplifying v = 0.5
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