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Simplifying -20v + 6(-8v + 4) = 6(-11v + -9) Reorder the terms: -20v + 6(4 + -8v) = 6(-11v + -9) -20v + (4 * 6 + -8v * 6) = 6(-11v + -9) -20v + (24 + -48v) = 6(-11v + -9) Reorder the terms: 24 + -20v + -48v = 6(-11v + -9) Combine like terms: -20v + -48v = -68v 24 + -68v = 6(-11v + -9) Reorder the terms: 24 + -68v = 6(-9 + -11v) 24 + -68v = (-9 * 6 + -11v * 6) 24 + -68v = (-54 + -66v) Solving 24 + -68v = -54 + -66v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '66v' to each side of the equation. 24 + -68v + 66v = -54 + -66v + 66v Combine like terms: -68v + 66v = -2v 24 + -2v = -54 + -66v + 66v Combine like terms: -66v + 66v = 0 24 + -2v = -54 + 0 24 + -2v = -54 Add '-24' to each side of the equation. 24 + -24 + -2v = -54 + -24 Combine like terms: 24 + -24 = 0 0 + -2v = -54 + -24 -2v = -54 + -24 Combine like terms: -54 + -24 = -78 -2v = -78 Divide each side by '-2'. v = 39 Simplifying v = 39
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