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Simplifying 11v + -7(6v + 20) = v + 20 Reorder the terms: 11v + -7(20 + 6v) = v + 20 11v + (20 * -7 + 6v * -7) = v + 20 11v + (-140 + -42v) = v + 20 Reorder the terms: -140 + 11v + -42v = v + 20 Combine like terms: 11v + -42v = -31v -140 + -31v = v + 20 Reorder the terms: -140 + -31v = 20 + v Solving -140 + -31v = 20 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -140 + -31v + -1v = 20 + v + -1v Combine like terms: -31v + -1v = -32v -140 + -32v = 20 + v + -1v Combine like terms: v + -1v = 0 -140 + -32v = 20 + 0 -140 + -32v = 20 Add '140' to each side of the equation. -140 + 140 + -32v = 20 + 140 Combine like terms: -140 + 140 = 0 0 + -32v = 20 + 140 -32v = 20 + 140 Combine like terms: 20 + 140 = 160 -32v = 160 Divide each side by '-32'. v = -5 Simplifying v = -5
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