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Simplifying 5(v + -9) + -3 = -7(-3v + 8) + -4v Reorder the terms: 5(-9 + v) + -3 = -7(-3v + 8) + -4v (-9 * 5 + v * 5) + -3 = -7(-3v + 8) + -4v (-45 + 5v) + -3 = -7(-3v + 8) + -4v Reorder the terms: -45 + -3 + 5v = -7(-3v + 8) + -4v Combine like terms: -45 + -3 = -48 -48 + 5v = -7(-3v + 8) + -4v Reorder the terms: -48 + 5v = -7(8 + -3v) + -4v -48 + 5v = (8 * -7 + -3v * -7) + -4v -48 + 5v = (-56 + 21v) + -4v Combine like terms: 21v + -4v = 17v -48 + 5v = -56 + 17v Solving -48 + 5v = -56 + 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. -48 + 5v + -17v = -56 + 17v + -17v Combine like terms: 5v + -17v = -12v -48 + -12v = -56 + 17v + -17v Combine like terms: 17v + -17v = 0 -48 + -12v = -56 + 0 -48 + -12v = -56 Add '48' to each side of the equation. -48 + 48 + -12v = -56 + 48 Combine like terms: -48 + 48 = 0 0 + -12v = -56 + 48 -12v = -56 + 48 Combine like terms: -56 + 48 = -8 -12v = -8 Divide each side by '-12'. v = 0.6666666667 Simplifying v = 0.6666666667
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