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Simplifying 125 = 5(3v + 7) Reorder the terms: 125 = 5(7 + 3v) 125 = (7 * 5 + 3v * 5) 125 = (35 + 15v) Solving 125 = 35 + 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. 125 + -15v = 35 + 15v + -15v Combine like terms: 15v + -15v = 0 125 + -15v = 35 + 0 125 + -15v = 35 Add '-125' to each side of the equation. 125 + -125 + -15v = 35 + -125 Combine like terms: 125 + -125 = 0 0 + -15v = 35 + -125 -15v = 35 + -125 Combine like terms: 35 + -125 = -90 -15v = -90 Divide each side by '-15'. v = 6 Simplifying v = 6
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