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Simplifying 20v + -14 + 3v = -20v + -8(-9v + -20) Reorder the terms: -14 + 20v + 3v = -20v + -8(-9v + -20) Combine like terms: 20v + 3v = 23v -14 + 23v = -20v + -8(-9v + -20) Reorder the terms: -14 + 23v = -20v + -8(-20 + -9v) -14 + 23v = -20v + (-20 * -8 + -9v * -8) -14 + 23v = -20v + (160 + 72v) Reorder the terms: -14 + 23v = 160 + -20v + 72v Combine like terms: -20v + 72v = 52v -14 + 23v = 160 + 52v Solving -14 + 23v = 160 + 52v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-52v' to each side of the equation. -14 + 23v + -52v = 160 + 52v + -52v Combine like terms: 23v + -52v = -29v -14 + -29v = 160 + 52v + -52v Combine like terms: 52v + -52v = 0 -14 + -29v = 160 + 0 -14 + -29v = 160 Add '14' to each side of the equation. -14 + 14 + -29v = 160 + 14 Combine like terms: -14 + 14 = 0 0 + -29v = 160 + 14 -29v = 160 + 14 Combine like terms: 160 + 14 = 174 -29v = 174 Divide each side by '-29'. v = -6 Simplifying v = -6
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