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Simplifying 39 = -5v + 7(v + 7) Reorder the terms: 39 = -5v + 7(7 + v) 39 = -5v + (7 * 7 + v * 7) 39 = -5v + (49 + 7v) Reorder the terms: 39 = 49 + -5v + 7v Combine like terms: -5v + 7v = 2v 39 = 49 + 2v Solving 39 = 49 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 39 + -2v = 49 + 2v + -2v Combine like terms: 2v + -2v = 0 39 + -2v = 49 + 0 39 + -2v = 49 Add '-39' to each side of the equation. 39 + -39 + -2v = 49 + -39 Combine like terms: 39 + -39 = 0 0 + -2v = 49 + -39 -2v = 49 + -39 Combine like terms: 49 + -39 = 10 -2v = 10 Divide each side by '-2'. v = -5 Simplifying v = -5
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