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Simplifying -0.6(3v + -15) = 0.4(3 + -5v) Reorder the terms: -0.6(-15 + 3v) = 0.4(3 + -5v) (-15 * -0.6 + 3v * -0.6) = 0.4(3 + -5v) (9 + -1.8v) = 0.4(3 + -5v) 9 + -1.8v = (3 * 0.4 + -5v * 0.4) 9 + -1.8v = (1.2 + -2v) Solving 9 + -1.8v = 1.2 + -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. 9 + -1.8v + 2v = 1.2 + -2v + 2v Combine like terms: -1.8v + 2v = 0.2v 9 + 0.2v = 1.2 + -2v + 2v Combine like terms: -2v + 2v = 0 9 + 0.2v = 1.2 + 0 9 + 0.2v = 1.2 Add '-9' to each side of the equation. 9 + -9 + 0.2v = 1.2 + -9 Combine like terms: 9 + -9 = 0 0 + 0.2v = 1.2 + -9 0.2v = 1.2 + -9 Combine like terms: 1.2 + -9 = -7.8 0.2v = -7.8 Divide each side by '0.2'. v = -39 Simplifying v = -39

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