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Simplifying 39 + -8v = 6 + -7(7 + 7v) 39 + -8v = 6 + (7 * -7 + 7v * -7) 39 + -8v = 6 + (-49 + -49v) Combine like terms: 6 + -49 = -43 39 + -8v = -43 + -49v Solving 39 + -8v = -43 + -49v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '49v' to each side of the equation. 39 + -8v + 49v = -43 + -49v + 49v Combine like terms: -8v + 49v = 41v 39 + 41v = -43 + -49v + 49v Combine like terms: -49v + 49v = 0 39 + 41v = -43 + 0 39 + 41v = -43 Add '-39' to each side of the equation. 39 + -39 + 41v = -43 + -39 Combine like terms: 39 + -39 = 0 0 + 41v = -43 + -39 41v = -43 + -39 Combine like terms: -43 + -39 = -82 41v = -82 Divide each side by '41'. v = -2 Simplifying v = -2
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