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Simplifying 3(2 + -1v) + 2v = -2(v + 5) (2 * 3 + -1v * 3) + 2v = -2(v + 5) (6 + -3v) + 2v = -2(v + 5) Combine like terms: -3v + 2v = -1v 6 + -1v = -2(v + 5) Reorder the terms: 6 + -1v = -2(5 + v) 6 + -1v = (5 * -2 + v * -2) 6 + -1v = (-10 + -2v) Solving 6 + -1v = -10 + -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. 6 + -1v + 2v = -10 + -2v + 2v Combine like terms: -1v + 2v = 1v 6 + 1v = -10 + -2v + 2v Combine like terms: -2v + 2v = 0 6 + 1v = -10 + 0 6 + 1v = -10 Add '-6' to each side of the equation. 6 + -6 + 1v = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 1v = -10 + -6 1v = -10 + -6 Combine like terms: -10 + -6 = -16 1v = -16 Divide each side by '1'. v = -16 Simplifying v = -16
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