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Simplifying 27 = 5(v + 5) + -7v Reorder the terms: 27 = 5(5 + v) + -7v 27 = (5 * 5 + v * 5) + -7v 27 = (25 + 5v) + -7v Combine like terms: 5v + -7v = -2v 27 = 25 + -2v Solving 27 = 25 + -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. 27 + 2v = 25 + -2v + 2v Combine like terms: -2v + 2v = 0 27 + 2v = 25 + 0 27 + 2v = 25 Add '-27' to each side of the equation. 27 + -27 + 2v = 25 + -27 Combine like terms: 27 + -27 = 0 0 + 2v = 25 + -27 2v = 25 + -27 Combine like terms: 25 + -27 = -2 2v = -2 Divide each side by '2'. v = -1 Simplifying v = -1
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