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Simplifying 8(-6v + 5) + -16v = -8(13v + -15) Reorder the terms: 8(5 + -6v) + -16v = -8(13v + -15) (5 * 8 + -6v * 8) + -16v = -8(13v + -15) (40 + -48v) + -16v = -8(13v + -15) Combine like terms: -48v + -16v = -64v 40 + -64v = -8(13v + -15) Reorder the terms: 40 + -64v = -8(-15 + 13v) 40 + -64v = (-15 * -8 + 13v * -8) 40 + -64v = (120 + -104v) Solving 40 + -64v = 120 + -104v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '104v' to each side of the equation. 40 + -64v + 104v = 120 + -104v + 104v Combine like terms: -64v + 104v = 40v 40 + 40v = 120 + -104v + 104v Combine like terms: -104v + 104v = 0 40 + 40v = 120 + 0 40 + 40v = 120 Add '-40' to each side of the equation. 40 + -40 + 40v = 120 + -40 Combine like terms: 40 + -40 = 0 0 + 40v = 120 + -40 40v = 120 + -40 Combine like terms: 120 + -40 = 80 40v = 80 Divide each side by '40'. v = 2 Simplifying v = 2
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