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Simplifying -15(19v + -8) = -18(12v + 1) Reorder the terms: -15(-8 + 19v) = -18(12v + 1) (-8 * -15 + 19v * -15) = -18(12v + 1) (120 + -285v) = -18(12v + 1) Reorder the terms: 120 + -285v = -18(1 + 12v) 120 + -285v = (1 * -18 + 12v * -18) 120 + -285v = (-18 + -216v) Solving 120 + -285v = -18 + -216v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '216v' to each side of the equation. 120 + -285v + 216v = -18 + -216v + 216v Combine like terms: -285v + 216v = -69v 120 + -69v = -18 + -216v + 216v Combine like terms: -216v + 216v = 0 120 + -69v = -18 + 0 120 + -69v = -18 Add '-120' to each side of the equation. 120 + -120 + -69v = -18 + -120 Combine like terms: 120 + -120 = 0 0 + -69v = -18 + -120 -69v = -18 + -120 Combine like terms: -18 + -120 = -138 -69v = -138 Divide each side by '-69'. v = 2 Simplifying v = 2
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