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Simplifying 39 + 8v = -5v + -5(3 + -8v) 39 + 8v = -5v + (3 * -5 + -8v * -5) 39 + 8v = -5v + (-15 + 40v) Reorder the terms: 39 + 8v = -15 + -5v + 40v Combine like terms: -5v + 40v = 35v 39 + 8v = -15 + 35v Solving 39 + 8v = -15 + 35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35v' to each side of the equation. 39 + 8v + -35v = -15 + 35v + -35v Combine like terms: 8v + -35v = -27v 39 + -27v = -15 + 35v + -35v Combine like terms: 35v + -35v = 0 39 + -27v = -15 + 0 39 + -27v = -15 Add '-39' to each side of the equation. 39 + -39 + -27v = -15 + -39 Combine like terms: 39 + -39 = 0 0 + -27v = -15 + -39 -27v = -15 + -39 Combine like terms: -15 + -39 = -54 -27v = -54 Divide each side by '-27'. v = 2 Simplifying v = 2
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