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Simplifying -108 = -12(10v + -1) + -6(5v + -5) Reorder the terms: -108 = -12(-1 + 10v) + -6(5v + -5) -108 = (-1 * -12 + 10v * -12) + -6(5v + -5) -108 = (12 + -120v) + -6(5v + -5) Reorder the terms: -108 = 12 + -120v + -6(-5 + 5v) -108 = 12 + -120v + (-5 * -6 + 5v * -6) -108 = 12 + -120v + (30 + -30v) Reorder the terms: -108 = 12 + 30 + -120v + -30v Combine like terms: 12 + 30 = 42 -108 = 42 + -120v + -30v Combine like terms: -120v + -30v = -150v -108 = 42 + -150v Solving -108 = 42 + -150v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '150v' to each side of the equation. -108 + 150v = 42 + -150v + 150v Combine like terms: -150v + 150v = 0 -108 + 150v = 42 + 0 -108 + 150v = 42 Add '108' to each side of the equation. -108 + 108 + 150v = 42 + 108 Combine like terms: -108 + 108 = 0 0 + 150v = 42 + 108 150v = 42 + 108 Combine like terms: 42 + 108 = 150 150v = 150 Divide each side by '150'. v = 1 Simplifying v = 1
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