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Simplifying 4v + -2 + 3(4v + 3) = -2(v + 4) Reorder the terms: 4v + -2 + 3(3 + 4v) = -2(v + 4) 4v + -2 + (3 * 3 + 4v * 3) = -2(v + 4) 4v + -2 + (9 + 12v) = -2(v + 4) Reorder the terms: -2 + 9 + 4v + 12v = -2(v + 4) Combine like terms: -2 + 9 = 7 7 + 4v + 12v = -2(v + 4) Combine like terms: 4v + 12v = 16v 7 + 16v = -2(v + 4) Reorder the terms: 7 + 16v = -2(4 + v) 7 + 16v = (4 * -2 + v * -2) 7 + 16v = (-8 + -2v) Solving 7 + 16v = -8 + -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. 7 + 16v + 2v = -8 + -2v + 2v Combine like terms: 16v + 2v = 18v 7 + 18v = -8 + -2v + 2v Combine like terms: -2v + 2v = 0 7 + 18v = -8 + 0 7 + 18v = -8 Add '-7' to each side of the equation. 7 + -7 + 18v = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 18v = -8 + -7 18v = -8 + -7 Combine like terms: -8 + -7 = -15 18v = -15 Divide each side by '18'. v = -0.8333333333 Simplifying v = -0.8333333333
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