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Simplifying 39 = 2(v + -6) + 7v Reorder the terms: 39 = 2(-6 + v) + 7v 39 = (-6 * 2 + v * 2) + 7v 39 = (-12 + 2v) + 7v Combine like terms: 2v + 7v = 9v 39 = -12 + 9v Solving 39 = -12 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 39 + -9v = -12 + 9v + -9v Combine like terms: 9v + -9v = 0 39 + -9v = -12 + 0 39 + -9v = -12 Add '-39' to each side of the equation. 39 + -39 + -9v = -12 + -39 Combine like terms: 39 + -39 = 0 0 + -9v = -12 + -39 -9v = -12 + -39 Combine like terms: -12 + -39 = -51 -9v = -51 Divide each side by '-9'. v = 5.666666667 Simplifying v = 5.666666667
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