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Simplifying 3(2v + 1) = -15(5v + 6) Reorder the terms: 3(1 + 2v) = -15(5v + 6) (1 * 3 + 2v * 3) = -15(5v + 6) (3 + 6v) = -15(5v + 6) Reorder the terms: 3 + 6v = -15(6 + 5v) 3 + 6v = (6 * -15 + 5v * -15) 3 + 6v = (-90 + -75v) Solving 3 + 6v = -90 + -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 = -90 + -75v + 75v Combine like terms: 6v + 75v = 81v 3 + 81v = -90 + -75v + 75v Combine like terms: -75v + 75v = 0 3 + 81v = -90 + 0 3 + 81v = -90 Add '-3' to each side of the equation. 3 + -3 + 81v = -90 + -3 Combine like terms: 3 + -3 = 0 0 + 81v = -90 + -3 81v = -90 + -3 Combine like terms: -90 + -3 = -93 81v = -93 Divide each side by '81'. v = -1.148148148 Simplifying v = -1.148148148
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