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Simplifying 5(v + -1) + -8 = -4(-5v + 1) + -3v Reorder the terms: 5(-1 + v) + -8 = -4(-5v + 1) + -3v (-1 * 5 + v * 5) + -8 = -4(-5v + 1) + -3v (-5 + 5v) + -8 = -4(-5v + 1) + -3v Reorder the terms: -5 + -8 + 5v = -4(-5v + 1) + -3v Combine like terms: -5 + -8 = -13 -13 + 5v = -4(-5v + 1) + -3v Reorder the terms: -13 + 5v = -4(1 + -5v) + -3v -13 + 5v = (1 * -4 + -5v * -4) + -3v -13 + 5v = (-4 + 20v) + -3v Combine like terms: 20v + -3v = 17v -13 + 5v = -4 + 17v Solving -13 + 5v = -4 + 17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17v' to each side of the equation. -13 + 5v + -17v = -4 + 17v + -17v Combine like terms: 5v + -17v = -12v -13 + -12v = -4 + 17v + -17v Combine like terms: 17v + -17v = 0 -13 + -12v = -4 + 0 -13 + -12v = -4 Add '13' to each side of the equation. -13 + 13 + -12v = -4 + 13 Combine like terms: -13 + 13 = 0 0 + -12v = -4 + 13 -12v = -4 + 13 Combine like terms: -4 + 13 = 9 -12v = 9 Divide each side by '-12'. v = -0.75 Simplifying v = -0.75
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