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Simplifying 7v + -8 + 4(2v + 3) = -3(v + 4) Reorder the terms: 7v + -8 + 4(3 + 2v) = -3(v + 4) 7v + -8 + (3 * 4 + 2v * 4) = -3(v + 4) 7v + -8 + (12 + 8v) = -3(v + 4) Reorder the terms: -8 + 12 + 7v + 8v = -3(v + 4) Combine like terms: -8 + 12 = 4 4 + 7v + 8v = -3(v + 4) Combine like terms: 7v + 8v = 15v 4 + 15v = -3(v + 4) Reorder the terms: 4 + 15v = -3(4 + v) 4 + 15v = (4 * -3 + v * -3) 4 + 15v = (-12 + -3v) Solving 4 + 15v = -12 + -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. 4 + 15v + 3v = -12 + -3v + 3v Combine like terms: 15v + 3v = 18v 4 + 18v = -12 + -3v + 3v Combine like terms: -3v + 3v = 0 4 + 18v = -12 + 0 4 + 18v = -12 Add '-4' to each side of the equation. 4 + -4 + 18v = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 18v = -12 + -4 18v = -12 + -4 Combine like terms: -12 + -4 = -16 18v = -16 Divide each side by '18'. v = -0.8888888889 Simplifying v = -0.8888888889
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