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Simplifying 5(v + 5) + -7v = 15 Reorder the terms: 5(5 + v) + -7v = 15 (5 * 5 + v * 5) + -7v = 15 (25 + 5v) + -7v = 15 Combine like terms: 5v + -7v = -2v 25 + -2v = 15 Solving 25 + -2v = 15 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -2v = 15 + -25 Combine like terms: 25 + -25 = 0 0 + -2v = 15 + -25 -2v = 15 + -25 Combine like terms: 15 + -25 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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