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Simplifying 3(v + -1) + 8v = 2(6 + 4v) + -14 Reorder the terms: 3(-1 + v) + 8v = 2(6 + 4v) + -14 (-1 * 3 + v * 3) + 8v = 2(6 + 4v) + -14 (-3 + 3v) + 8v = 2(6 + 4v) + -14 Combine like terms: 3v + 8v = 11v -3 + 11v = 2(6 + 4v) + -14 -3 + 11v = (6 * 2 + 4v * 2) + -14 -3 + 11v = (12 + 8v) + -14 Reorder the terms: -3 + 11v = 12 + -14 + 8v Combine like terms: 12 + -14 = -2 -3 + 11v = -2 + 8v Solving -3 + 11v = -2 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -3 + 11v + -8v = -2 + 8v + -8v Combine like terms: 11v + -8v = 3v -3 + 3v = -2 + 8v + -8v Combine like terms: 8v + -8v = 0 -3 + 3v = -2 + 0 -3 + 3v = -2 Add '3' to each side of the equation. -3 + 3 + 3v = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 3v = -2 + 3 3v = -2 + 3 Combine like terms: -2 + 3 = 1 3v = 1 Divide each side by '3'. v = 0.3333333333 Simplifying v = 0.3333333333
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