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Simplifying -2(9v + -4) + 2v = 2(v + 7) Reorder the terms: -2(-4 + 9v) + 2v = 2(v + 7) (-4 * -2 + 9v * -2) + 2v = 2(v + 7) (8 + -18v) + 2v = 2(v + 7) Combine like terms: -18v + 2v = -16v 8 + -16v = 2(v + 7) Reorder the terms: 8 + -16v = 2(7 + v) 8 + -16v = (7 * 2 + v * 2) 8 + -16v = (14 + 2v) Solving 8 + -16v = 14 + 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. 8 + -16v + -2v = 14 + 2v + -2v Combine like terms: -16v + -2v = -18v 8 + -18v = 14 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + -18v = 14 + 0 8 + -18v = 14 Add '-8' to each side of the equation. 8 + -8 + -18v = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -18v = 14 + -8 -18v = 14 + -8 Combine like terms: 14 + -8 = 6 -18v = 6 Divide each side by '-18'. v = -0.3333333333 Simplifying v = -0.3333333333
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