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Simplifying 3v + 39 = -8(v + -9) Reorder the terms: 39 + 3v = -8(v + -9) Reorder the terms: 39 + 3v = -8(-9 + v) 39 + 3v = (-9 * -8 + v * -8) 39 + 3v = (72 + -8v) Solving 39 + 3v = 72 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 39 + 3v + 8v = 72 + -8v + 8v Combine like terms: 3v + 8v = 11v 39 + 11v = 72 + -8v + 8v Combine like terms: -8v + 8v = 0 39 + 11v = 72 + 0 39 + 11v = 72 Add '-39' to each side of the equation. 39 + -39 + 11v = 72 + -39 Combine like terms: 39 + -39 = 0 0 + 11v = 72 + -39 11v = 72 + -39 Combine like terms: 72 + -39 = 33 11v = 33 Divide each side by '11'. v = 3 Simplifying v = 3
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