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Simplifying 2(v + -1) + 8v = 2(6 + 4v) + -14 Reorder the terms: 2(-1 + v) + 8v = 2(6 + 4v) + -14 (-1 * 2 + v * 2) + 8v = 2(6 + 4v) + -14 (-2 + 2v) + 8v = 2(6 + 4v) + -14 Combine like terms: 2v + 8v = 10v -2 + 10v = 2(6 + 4v) + -14 -2 + 10v = (6 * 2 + 4v * 2) + -14 -2 + 10v = (12 + 8v) + -14 Reorder the terms: -2 + 10v = 12 + -14 + 8v Combine like terms: 12 + -14 = -2 -2 + 10v = -2 + 8v Add '2' to each side of the equation. -2 + 2 + 10v = -2 + 2 + 8v Combine like terms: -2 + 2 = 0 0 + 10v = -2 + 2 + 8v 10v = -2 + 2 + 8v Combine like terms: -2 + 2 = 0 10v = 0 + 8v 10v = 8v Solving 10v = 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. 10v + -8v = 8v + -8v Combine like terms: 10v + -8v = 2v 2v = 8v + -8v Combine like terms: 8v + -8v = 0 2v = 0 Divide each side by '2'. v = 0 Simplifying v = 0
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