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Simplifying -10(5v + -2) = -12(v + -8) Reorder the terms: -10(-2 + 5v) = -12(v + -8) (-2 * -10 + 5v * -10) = -12(v + -8) (20 + -50v) = -12(v + -8) Reorder the terms: 20 + -50v = -12(-8 + v) 20 + -50v = (-8 * -12 + v * -12) 20 + -50v = (96 + -12v) Solving 20 + -50v = 96 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 20 + -50v + 12v = 96 + -12v + 12v Combine like terms: -50v + 12v = -38v 20 + -38v = 96 + -12v + 12v Combine like terms: -12v + 12v = 0 20 + -38v = 96 + 0 20 + -38v = 96 Add '-20' to each side of the equation. 20 + -20 + -38v = 96 + -20 Combine like terms: 20 + -20 = 0 0 + -38v = 96 + -20 -38v = 96 + -20 Combine like terms: 96 + -20 = 76 -38v = 76 Divide each side by '-38'. v = -2 Simplifying v = -2
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