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Simplifying 2(v + -8) + -3 = -4(-5v + 1) + -9v Reorder the terms: 2(-8 + v) + -3 = -4(-5v + 1) + -9v (-8 * 2 + v * 2) + -3 = -4(-5v + 1) + -9v (-16 + 2v) + -3 = -4(-5v + 1) + -9v Reorder the terms: -16 + -3 + 2v = -4(-5v + 1) + -9v Combine like terms: -16 + -3 = -19 -19 + 2v = -4(-5v + 1) + -9v Reorder the terms: -19 + 2v = -4(1 + -5v) + -9v -19 + 2v = (1 * -4 + -5v * -4) + -9v -19 + 2v = (-4 + 20v) + -9v Combine like terms: 20v + -9v = 11v -19 + 2v = -4 + 11v Solving -19 + 2v = -4 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -19 + 2v + -11v = -4 + 11v + -11v Combine like terms: 2v + -11v = -9v -19 + -9v = -4 + 11v + -11v Combine like terms: 11v + -11v = 0 -19 + -9v = -4 + 0 -19 + -9v = -4 Add '19' to each side of the equation. -19 + 19 + -9v = -4 + 19 Combine like terms: -19 + 19 = 0 0 + -9v = -4 + 19 -9v = -4 + 19 Combine like terms: -4 + 19 = 15 -9v = 15 Divide each side by '-9'. v = -1.666666667 Simplifying v = -1.666666667
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