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Simplifying 2(2v + 1) = -15(5v + 16) Reorder the terms: 2(1 + 2v) = -15(5v + 16) (1 * 2 + 2v * 2) = -15(5v + 16) (2 + 4v) = -15(5v + 16) Reorder the terms: 2 + 4v = -15(16 + 5v) 2 + 4v = (16 * -15 + 5v * -15) 2 + 4v = (-240 + -75v) Solving 2 + 4v = -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. 2 + 4v + 75v = -240 + -75v + 75v Combine like terms: 4v + 75v = 79v 2 + 79v = -240 + -75v + 75v Combine like terms: -75v + 75v = 0 2 + 79v = -240 + 0 2 + 79v = -240 Add '-2' to each side of the equation. 2 + -2 + 79v = -240 + -2 Combine like terms: 2 + -2 = 0 0 + 79v = -240 + -2 79v = -240 + -2 Combine like terms: -240 + -2 = -242 79v = -242 Divide each side by '79'. v = -3.063291139 Simplifying v = -3.063291139
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