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Simplifying 2v + 5 + -3(-4 + -2) = 4(v + -1) Combine like terms: -4 + -2 = -6 2v + 5 + -3(-6) = 4(v + -1) Multiply -3 * -6 2v + 5 + 18 = 4(v + -1) Reorder the terms: 5 + 18 + 2v = 4(v + -1) Combine like terms: 5 + 18 = 23 23 + 2v = 4(v + -1) Reorder the terms: 23 + 2v = 4(-1 + v) 23 + 2v = (-1 * 4 + v * 4) 23 + 2v = (-4 + 4v) Solving 23 + 2v = -4 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 23 + 2v + -4v = -4 + 4v + -4v Combine like terms: 2v + -4v = -2v 23 + -2v = -4 + 4v + -4v Combine like terms: 4v + -4v = 0 23 + -2v = -4 + 0 23 + -2v = -4 Add '-23' to each side of the equation. 23 + -23 + -2v = -4 + -23 Combine like terms: 23 + -23 = 0 0 + -2v = -4 + -23 -2v = -4 + -23 Combine like terms: -4 + -23 = -27 -2v = -27 Divide each side by '-2'. v = 13.5 Simplifying v = 13.5
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