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Simplifying 6(v + 1) = -2(9v + -4) + 6v Reorder the terms: 6(1 + v) = -2(9v + -4) + 6v (1 * 6 + v * 6) = -2(9v + -4) + 6v (6 + 6v) = -2(9v + -4) + 6v Reorder the terms: 6 + 6v = -2(-4 + 9v) + 6v 6 + 6v = (-4 * -2 + 9v * -2) + 6v 6 + 6v = (8 + -18v) + 6v Combine like terms: -18v + 6v = -12v 6 + 6v = 8 + -12v Solving 6 + 6v = 8 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 6 + 6v + 12v = 8 + -12v + 12v Combine like terms: 6v + 12v = 18v 6 + 18v = 8 + -12v + 12v Combine like terms: -12v + 12v = 0 6 + 18v = 8 + 0 6 + 18v = 8 Add '-6' to each side of the equation. 6 + -6 + 18v = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 18v = 8 + -6 18v = 8 + -6 Combine like terms: 8 + -6 = 2 18v = 2 Divide each side by '18'. v = 0.1111111111 Simplifying v = 0.1111111111
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