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Simplifying 5v + -8 + 3(3v + 4) = -4(v + 1) Reorder the terms: 5v + -8 + 3(4 + 3v) = -4(v + 1) 5v + -8 + (4 * 3 + 3v * 3) = -4(v + 1) 5v + -8 + (12 + 9v) = -4(v + 1) Reorder the terms: -8 + 12 + 5v + 9v = -4(v + 1) Combine like terms: -8 + 12 = 4 4 + 5v + 9v = -4(v + 1) Combine like terms: 5v + 9v = 14v 4 + 14v = -4(v + 1) Reorder the terms: 4 + 14v = -4(1 + v) 4 + 14v = (1 * -4 + v * -4) 4 + 14v = (-4 + -4v) Solving 4 + 14v = -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. 4 + 14v + 4v = -4 + -4v + 4v Combine like terms: 14v + 4v = 18v 4 + 18v = -4 + -4v + 4v Combine like terms: -4v + 4v = 0 4 + 18v = -4 + 0 4 + 18v = -4 Add '-4' to each side of the equation. 4 + -4 + 18v = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 18v = -4 + -4 18v = -4 + -4 Combine like terms: -4 + -4 = -8 18v = -8 Divide each side by '18'. v = -0.4444444444 Simplifying v = -0.4444444444
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