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Simplifying 4(v + 2) = 3(2 + -3v) + -1 Reorder the terms: 4(2 + v) = 3(2 + -3v) + -1 (2 * 4 + v * 4) = 3(2 + -3v) + -1 (8 + 4v) = 3(2 + -3v) + -1 8 + 4v = (2 * 3 + -3v * 3) + -1 8 + 4v = (6 + -9v) + -1 Reorder the terms: 8 + 4v = 6 + -1 + -9v Combine like terms: 6 + -1 = 5 8 + 4v = 5 + -9v Solving 8 + 4v = 5 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 8 + 4v + 9v = 5 + -9v + 9v Combine like terms: 4v + 9v = 13v 8 + 13v = 5 + -9v + 9v Combine like terms: -9v + 9v = 0 8 + 13v = 5 + 0 8 + 13v = 5 Add '-8' to each side of the equation. 8 + -8 + 13v = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 13v = 5 + -8 13v = 5 + -8 Combine like terms: 5 + -8 = -3 13v = -3 Divide each side by '13'. v = -0.2307692308 Simplifying v = -0.2307692308
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