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Simplifying 2(v + 9) = -4(2v + -3) + 2v Reorder the terms: 2(9 + v) = -4(2v + -3) + 2v (9 * 2 + v * 2) = -4(2v + -3) + 2v (18 + 2v) = -4(2v + -3) + 2v Reorder the terms: 18 + 2v = -4(-3 + 2v) + 2v 18 + 2v = (-3 * -4 + 2v * -4) + 2v 18 + 2v = (12 + -8v) + 2v Combine like terms: -8v + 2v = -6v 18 + 2v = 12 + -6v Solving 18 + 2v = 12 + -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. 18 + 2v + 6v = 12 + -6v + 6v Combine like terms: 2v + 6v = 8v 18 + 8v = 12 + -6v + 6v Combine like terms: -6v + 6v = 0 18 + 8v = 12 + 0 18 + 8v = 12 Add '-18' to each side of the equation. 18 + -18 + 8v = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 8v = 12 + -18 8v = 12 + -18 Combine like terms: 12 + -18 = -6 8v = -6 Divide each side by '8'. v = -0.75 Simplifying v = -0.75
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