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Simplifying -3(v + -5) + 5(v + -8) = -1v + 8v Reorder the terms: -3(-5 + v) + 5(v + -8) = -1v + 8v (-5 * -3 + v * -3) + 5(v + -8) = -1v + 8v (15 + -3v) + 5(v + -8) = -1v + 8v Reorder the terms: 15 + -3v + 5(-8 + v) = -1v + 8v 15 + -3v + (-8 * 5 + v * 5) = -1v + 8v 15 + -3v + (-40 + 5v) = -1v + 8v Reorder the terms: 15 + -40 + -3v + 5v = -1v + 8v Combine like terms: 15 + -40 = -25 -25 + -3v + 5v = -1v + 8v Combine like terms: -3v + 5v = 2v -25 + 2v = -1v + 8v Combine like terms: -1v + 8v = 7v -25 + 2v = 7v Solving -25 + 2v = 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -25 + 2v + -7v = 7v + -7v Combine like terms: 2v + -7v = -5v -25 + -5v = 7v + -7v Combine like terms: 7v + -7v = 0 -25 + -5v = 0 Add '25' to each side of the equation. -25 + 25 + -5v = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -5v = 0 + 25 -5v = 0 + 25 Combine like terms: 0 + 25 = 25 -5v = 25 Divide each side by '-5'. v = -5 Simplifying v = -5
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