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Simplifying 4v + -8 + 3(3v + 3) = -2(v + 4) Reorder the terms: 4v + -8 + 3(3 + 3v) = -2(v + 4) 4v + -8 + (3 * 3 + 3v * 3) = -2(v + 4) 4v + -8 + (9 + 9v) = -2(v + 4) Reorder the terms: -8 + 9 + 4v + 9v = -2(v + 4) Combine like terms: -8 + 9 = 1 1 + 4v + 9v = -2(v + 4) Combine like terms: 4v + 9v = 13v 1 + 13v = -2(v + 4) Reorder the terms: 1 + 13v = -2(4 + v) 1 + 13v = (4 * -2 + v * -2) 1 + 13v = (-8 + -2v) Solving 1 + 13v = -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. 1 + 13v + 2v = -8 + -2v + 2v Combine like terms: 13v + 2v = 15v 1 + 15v = -8 + -2v + 2v Combine like terms: -2v + 2v = 0 1 + 15v = -8 + 0 1 + 15v = -8 Add '-1' to each side of the equation. 1 + -1 + 15v = -8 + -1 Combine like terms: 1 + -1 = 0 0 + 15v = -8 + -1 15v = -8 + -1 Combine like terms: -8 + -1 = -9 15v = -9 Divide each side by '15'. v = -0.6 Simplifying v = -0.6
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