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Simplifying 4(v + 2) = -2(5v + -9) + 8v Reorder the terms: 4(2 + v) = -2(5v + -9) + 8v (2 * 4 + v * 4) = -2(5v + -9) + 8v (8 + 4v) = -2(5v + -9) + 8v Reorder the terms: 8 + 4v = -2(-9 + 5v) + 8v 8 + 4v = (-9 * -2 + 5v * -2) + 8v 8 + 4v = (18 + -10v) + 8v Combine like terms: -10v + 8v = -2v 8 + 4v = 18 + -2v Solving 8 + 4v = 18 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 8 + 4v + 2v = 18 + -2v + 2v Combine like terms: 4v + 2v = 6v 8 + 6v = 18 + -2v + 2v Combine like terms: -2v + 2v = 0 8 + 6v = 18 + 0 8 + 6v = 18 Add '-8' to each side of the equation. 8 + -8 + 6v = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 6v = 18 + -8 6v = 18 + -8 Combine like terms: 18 + -8 = 10 6v = 10 Divide each side by '6'. v = 1.666666667 Simplifying v = 1.666666667
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