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Simplifying -39 + -7v = -1(7v + -9) + -8v Reorder the terms: -39 + -7v = -1(-9 + 7v) + -8v -39 + -7v = (-9 * -1 + 7v * -1) + -8v -39 + -7v = (9 + -7v) + -8v Combine like terms: -7v + -8v = -15v -39 + -7v = 9 + -15v Solving -39 + -7v = 9 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. -39 + -7v + 15v = 9 + -15v + 15v Combine like terms: -7v + 15v = 8v -39 + 8v = 9 + -15v + 15v Combine like terms: -15v + 15v = 0 -39 + 8v = 9 + 0 -39 + 8v = 9 Add '39' to each side of the equation. -39 + 39 + 8v = 9 + 39 Combine like terms: -39 + 39 = 0 0 + 8v = 9 + 39 8v = 9 + 39 Combine like terms: 9 + 39 = 48 8v = 48 Divide each side by '8'. v = 6 Simplifying v = 6
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