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Simplifying 3(v + 5) = 2v + -4 Reorder the terms: 3(5 + v) = 2v + -4 (5 * 3 + v * 3) = 2v + -4 (15 + 3v) = 2v + -4 Reorder the terms: 15 + 3v = -4 + 2v Solving 15 + 3v = -4 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 15 + 3v + -2v = -4 + 2v + -2v Combine like terms: 3v + -2v = 1v 15 + 1v = -4 + 2v + -2v Combine like terms: 2v + -2v = 0 15 + 1v = -4 + 0 15 + 1v = -4 Add '-15' to each side of the equation. 15 + -15 + 1v = -4 + -15 Combine like terms: 15 + -15 = 0 0 + 1v = -4 + -15 1v = -4 + -15 Combine like terms: -4 + -15 = -19 1v = -19 Divide each side by '1'. v = -19 Simplifying v = -19
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