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Simplifying 39 + -8v = 4v + -9(7 + 7v) 39 + -8v = 4v + (7 * -9 + 7v * -9) 39 + -8v = 4v + (-63 + -63v) Reorder the terms: 39 + -8v = -63 + 4v + -63v Combine like terms: 4v + -63v = -59v 39 + -8v = -63 + -59v Solving 39 + -8v = -63 + -59v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '59v' to each side of the equation. 39 + -8v + 59v = -63 + -59v + 59v Combine like terms: -8v + 59v = 51v 39 + 51v = -63 + -59v + 59v Combine like terms: -59v + 59v = 0 39 + 51v = -63 + 0 39 + 51v = -63 Add '-39' to each side of the equation. 39 + -39 + 51v = -63 + -39 Combine like terms: 39 + -39 = 0 0 + 51v = -63 + -39 51v = -63 + -39 Combine like terms: -63 + -39 = -102 51v = -102 Divide each side by '51'. v = -2 Simplifying v = -2
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