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Simplifying -2(-10 + -6v) = -3(12v + 6) + -10 (-10 * -2 + -6v * -2) = -3(12v + 6) + -10 (20 + 12v) = -3(12v + 6) + -10 Reorder the terms: 20 + 12v = -3(6 + 12v) + -10 20 + 12v = (6 * -3 + 12v * -3) + -10 20 + 12v = (-18 + -36v) + -10 Reorder the terms: 20 + 12v = -18 + -10 + -36v Combine like terms: -18 + -10 = -28 20 + 12v = -28 + -36v Solving 20 + 12v = -28 + -36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '36v' to each side of the equation. 20 + 12v + 36v = -28 + -36v + 36v Combine like terms: 12v + 36v = 48v 20 + 48v = -28 + -36v + 36v Combine like terms: -36v + 36v = 0 20 + 48v = -28 + 0 20 + 48v = -28 Add '-20' to each side of the equation. 20 + -20 + 48v = -28 + -20 Combine like terms: 20 + -20 = 0 0 + 48v = -28 + -20 48v = -28 + -20 Combine like terms: -28 + -20 = -48 48v = -48 Divide each side by '48'. v = -1 Simplifying v = -1
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