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Simplifying 2(v + 9) = -2(8v + -3) + 8v Reorder the terms: 2(9 + v) = -2(8v + -3) + 8v (9 * 2 + v * 2) = -2(8v + -3) + 8v (18 + 2v) = -2(8v + -3) + 8v Reorder the terms: 18 + 2v = -2(-3 + 8v) + 8v 18 + 2v = (-3 * -2 + 8v * -2) + 8v 18 + 2v = (6 + -16v) + 8v Combine like terms: -16v + 8v = -8v 18 + 2v = 6 + -8v Solving 18 + 2v = 6 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 18 + 2v + 8v = 6 + -8v + 8v Combine like terms: 2v + 8v = 10v 18 + 10v = 6 + -8v + 8v Combine like terms: -8v + 8v = 0 18 + 10v = 6 + 0 18 + 10v = 6 Add '-18' to each side of the equation. 18 + -18 + 10v = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 10v = 6 + -18 10v = 6 + -18 Combine like terms: 6 + -18 = -12 10v = -12 Divide each side by '10'. v = -1.2 Simplifying v = -1.2
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