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Simplifying -6(-4 + 20v) = 6(-6 + -18v) (-4 * -6 + 20v * -6) = 6(-6 + -18v) (24 + -120v) = 6(-6 + -18v) 24 + -120v = (-6 * 6 + -18v * 6) 24 + -120v = (-36 + -108v) Solving 24 + -120v = -36 + -108v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '108v' to each side of the equation. 24 + -120v + 108v = -36 + -108v + 108v Combine like terms: -120v + 108v = -12v 24 + -12v = -36 + -108v + 108v Combine like terms: -108v + 108v = 0 24 + -12v = -36 + 0 24 + -12v = -36 Add '-24' to each side of the equation. 24 + -24 + -12v = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -12v = -36 + -24 -12v = -36 + -24 Combine like terms: -36 + -24 = -60 -12v = -60 Divide each side by '-12'. v = 5 Simplifying v = 5
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