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Simplifying -18(-3v + 1) = 5(-2v + -2) Reorder the terms: -18(1 + -3v) = 5(-2v + -2) (1 * -18 + -3v * -18) = 5(-2v + -2) (-18 + 54v) = 5(-2v + -2) Reorder the terms: -18 + 54v = 5(-2 + -2v) -18 + 54v = (-2 * 5 + -2v * 5) -18 + 54v = (-10 + -10v) Solving -18 + 54v = -10 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. -18 + 54v + 10v = -10 + -10v + 10v Combine like terms: 54v + 10v = 64v -18 + 64v = -10 + -10v + 10v Combine like terms: -10v + 10v = 0 -18 + 64v = -10 + 0 -18 + 64v = -10 Add '18' to each side of the equation. -18 + 18 + 64v = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 64v = -10 + 18 64v = -10 + 18 Combine like terms: -10 + 18 = 8 64v = 8 Divide each side by '64'. v = 0.125 Simplifying v = 0.125
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