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Simplifying 12(10v + -10) = -12(v + -12) Reorder the terms: 12(-10 + 10v) = -12(v + -12) (-10 * 12 + 10v * 12) = -12(v + -12) (-120 + 120v) = -12(v + -12) Reorder the terms: -120 + 120v = -12(-12 + v) -120 + 120v = (-12 * -12 + v * -12) -120 + 120v = (144 + -12v) Solving -120 + 120v = 144 + -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. -120 + 120v + 12v = 144 + -12v + 12v Combine like terms: 120v + 12v = 132v -120 + 132v = 144 + -12v + 12v Combine like terms: -12v + 12v = 0 -120 + 132v = 144 + 0 -120 + 132v = 144 Add '120' to each side of the equation. -120 + 120 + 132v = 144 + 120 Combine like terms: -120 + 120 = 0 0 + 132v = 144 + 120 132v = 144 + 120 Combine like terms: 144 + 120 = 264 132v = 264 Divide each side by '132'. v = 2 Simplifying v = 2
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