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Simplifying 14 = 2(4v + -4) + -6(v + -2) Reorder the terms: 14 = 2(-4 + 4v) + -6(v + -2) 14 = (-4 * 2 + 4v * 2) + -6(v + -2) 14 = (-8 + 8v) + -6(v + -2) Reorder the terms: 14 = -8 + 8v + -6(-2 + v) 14 = -8 + 8v + (-2 * -6 + v * -6) 14 = -8 + 8v + (12 + -6v) Reorder the terms: 14 = -8 + 12 + 8v + -6v Combine like terms: -8 + 12 = 4 14 = 4 + 8v + -6v Combine like terms: 8v + -6v = 2v 14 = 4 + 2v Solving 14 = 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. 14 + -2v = 4 + 2v + -2v Combine like terms: 2v + -2v = 0 14 + -2v = 4 + 0 14 + -2v = 4 Add '-14' to each side of the equation. 14 + -14 + -2v = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -2v = 4 + -14 -2v = 4 + -14 Combine like terms: 4 + -14 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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