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Simplifying 4(v + 2) + -1v = 2(v + -1) + 9 Reorder the terms: 4(2 + v) + -1v = 2(v + -1) + 9 (2 * 4 + v * 4) + -1v = 2(v + -1) + 9 (8 + 4v) + -1v = 2(v + -1) + 9 Combine like terms: 4v + -1v = 3v 8 + 3v = 2(v + -1) + 9 Reorder the terms: 8 + 3v = 2(-1 + v) + 9 8 + 3v = (-1 * 2 + v * 2) + 9 8 + 3v = (-2 + 2v) + 9 Reorder the terms: 8 + 3v = -2 + 9 + 2v Combine like terms: -2 + 9 = 7 8 + 3v = 7 + 2v Solving 8 + 3v = 7 + 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 + 3v + -2v = 7 + 2v + -2v Combine like terms: 3v + -2v = 1v 8 + 1v = 7 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + 1v = 7 + 0 8 + 1v = 7 Add '-8' to each side of the equation. 8 + -8 + 1v = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1v = 7 + -8 1v = 7 + -8 Combine like terms: 7 + -8 = -1 1v = -1 Divide each side by '1'. v = -1 Simplifying v = -1
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