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Simplifying 6v + -1 + 3(3v + 4) = -3(v + 1) Reorder the terms: 6v + -1 + 3(4 + 3v) = -3(v + 1) 6v + -1 + (4 * 3 + 3v * 3) = -3(v + 1) 6v + -1 + (12 + 9v) = -3(v + 1) Reorder the terms: -1 + 12 + 6v + 9v = -3(v + 1) Combine like terms: -1 + 12 = 11 11 + 6v + 9v = -3(v + 1) Combine like terms: 6v + 9v = 15v 11 + 15v = -3(v + 1) Reorder the terms: 11 + 15v = -3(1 + v) 11 + 15v = (1 * -3 + v * -3) 11 + 15v = (-3 + -3v) Solving 11 + 15v = -3 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 11 + 15v + 3v = -3 + -3v + 3v Combine like terms: 15v + 3v = 18v 11 + 18v = -3 + -3v + 3v Combine like terms: -3v + 3v = 0 11 + 18v = -3 + 0 11 + 18v = -3 Add '-11' to each side of the equation. 11 + -11 + 18v = -3 + -11 Combine like terms: 11 + -11 = 0 0 + 18v = -3 + -11 18v = -3 + -11 Combine like terms: -3 + -11 = -14 18v = -14 Divide each side by '18'. v = -0.7777777778 Simplifying v = -0.7777777778
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