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Simplifying -4(2v + -2) = 8(-2v + 14) + 6v Reorder the terms: -4(-2 + 2v) = 8(-2v + 14) + 6v (-2 * -4 + 2v * -4) = 8(-2v + 14) + 6v (8 + -8v) = 8(-2v + 14) + 6v Reorder the terms: 8 + -8v = 8(14 + -2v) + 6v 8 + -8v = (14 * 8 + -2v * 8) + 6v 8 + -8v = (112 + -16v) + 6v Combine like terms: -16v + 6v = -10v 8 + -8v = 112 + -10v Solving 8 + -8v = 112 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 8 + -8v + 10v = 112 + -10v + 10v Combine like terms: -8v + 10v = 2v 8 + 2v = 112 + -10v + 10v Combine like terms: -10v + 10v = 0 8 + 2v = 112 + 0 8 + 2v = 112 Add '-8' to each side of the equation. 8 + -8 + 2v = 112 + -8 Combine like terms: 8 + -8 = 0 0 + 2v = 112 + -8 2v = 112 + -8 Combine like terms: 112 + -8 = 104 2v = 104 Divide each side by '2'. v = 52 Simplifying v = 52
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