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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 = 81v 3 + 81v = -240 + -75v + 75v Combine like terms: -75v + 75v = 0 3 + 81v = -240 + 0 3 + 81v = -240 Add '-3' to each side of the equation. 3 + -3 + 81v = -240 + -3 Combine like terms: 3 + -3 = 0 0 + 81v = -240 + -3 81v = -240 + -3 Combine like terms: -240 + -3 = -243 81v = -243 Divide each side by '81'. v = -3 Simplifying v = -3
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