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Simplifying 2v + 6 + -2(-3v + -4) = 2(v + 1) Reorder the terms: 2v + 6 + -2(-4 + -3v) = 2(v + 1) 2v + 6 + (-4 * -2 + -3v * -2) = 2(v + 1) 2v + 6 + (8 + 6v) = 2(v + 1) Reorder the terms: 6 + 8 + 2v + 6v = 2(v + 1) Combine like terms: 6 + 8 = 14 14 + 2v + 6v = 2(v + 1) Combine like terms: 2v + 6v = 8v 14 + 8v = 2(v + 1) Reorder the terms: 14 + 8v = 2(1 + v) 14 + 8v = (1 * 2 + v * 2) 14 + 8v = (2 + 2v) Solving 14 + 8v = 2 + 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. 14 + 8v + -2v = 2 + 2v + -2v Combine like terms: 8v + -2v = 6v 14 + 6v = 2 + 2v + -2v Combine like terms: 2v + -2v = 0 14 + 6v = 2 + 0 14 + 6v = 2 Add '-14' to each side of the equation. 14 + -14 + 6v = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 6v = 2 + -14 6v = 2 + -14 Combine like terms: 2 + -14 = -12 6v = -12 Divide each side by '6'. v = -2 Simplifying v = -2
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