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Simplifying 6v + -8 + 3(2v + 4) = -6(v + 1) Reorder the terms: 6v + -8 + 3(4 + 2v) = -6(v + 1) 6v + -8 + (4 * 3 + 2v * 3) = -6(v + 1) 6v + -8 + (12 + 6v) = -6(v + 1) Reorder the terms: -8 + 12 + 6v + 6v = -6(v + 1) Combine like terms: -8 + 12 = 4 4 + 6v + 6v = -6(v + 1) Combine like terms: 6v + 6v = 12v 4 + 12v = -6(v + 1) Reorder the terms: 4 + 12v = -6(1 + v) 4 + 12v = (1 * -6 + v * -6) 4 + 12v = (-6 + -6v) Solving 4 + 12v = -6 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 4 + 12v + 6v = -6 + -6v + 6v Combine like terms: 12v + 6v = 18v 4 + 18v = -6 + -6v + 6v Combine like terms: -6v + 6v = 0 4 + 18v = -6 + 0 4 + 18v = -6 Add '-4' to each side of the equation. 4 + -4 + 18v = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 18v = -6 + -4 18v = -6 + -4 Combine like terms: -6 + -4 = -10 18v = -10 Divide each side by '18'. v = -0.5555555556 Simplifying v = -0.5555555556
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