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Simplifying 3(2v + 1) = 15(5v + 16) Reorder the terms: 3(1 + 2v) = 15(5v + 16) (1 * 3 + 2v * 3) = 15(5v + 16) (3 + 6v) = 15(5v + 16) Reorder the terms: 3 + 6v = 15(16 + 5v) 3 + 6v = (16 * 15 + 5v * 15) 3 + 6v = (240 + 75v) Solving 3 + 6v = 240 + 75v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-75v' to each side of the equation. 3 + 6v + -75v = 240 + 75v + -75v Combine like terms: 6v + -75v = -69v 3 + -69v = 240 + 75v + -75v Combine like terms: 75v + -75v = 0 3 + -69v = 240 + 0 3 + -69v = 240 Add '-3' to each side of the equation. 3 + -3 + -69v = 240 + -3 Combine like terms: 3 + -3 = 0 0 + -69v = 240 + -3 -69v = 240 + -3 Combine like terms: 240 + -3 = 237 -69v = 237 Divide each side by '-69'. v = -3.434782609 Simplifying v = -3.434782609
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