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Simplifying 4(v + -4) + -9 = -5(-4v + 8) + -4v Reorder the terms: 4(-4 + v) + -9 = -5(-4v + 8) + -4v (-4 * 4 + v * 4) + -9 = -5(-4v + 8) + -4v (-16 + 4v) + -9 = -5(-4v + 8) + -4v Reorder the terms: -16 + -9 + 4v = -5(-4v + 8) + -4v Combine like terms: -16 + -9 = -25 -25 + 4v = -5(-4v + 8) + -4v Reorder the terms: -25 + 4v = -5(8 + -4v) + -4v -25 + 4v = (8 * -5 + -4v * -5) + -4v -25 + 4v = (-40 + 20v) + -4v Combine like terms: 20v + -4v = 16v -25 + 4v = -40 + 16v Solving -25 + 4v = -40 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -25 + 4v + -16v = -40 + 16v + -16v Combine like terms: 4v + -16v = -12v -25 + -12v = -40 + 16v + -16v Combine like terms: 16v + -16v = 0 -25 + -12v = -40 + 0 -25 + -12v = -40 Add '25' to each side of the equation. -25 + 25 + -12v = -40 + 25 Combine like terms: -25 + 25 = 0 0 + -12v = -40 + 25 -12v = -40 + 25 Combine like terms: -40 + 25 = -15 -12v = -15 Divide each side by '-12'. v = 1.25 Simplifying v = 1.25
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