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Simplifying 4 + 6(2v + -1) = -2(3v + -5) + 8v Reorder the terms: 4 + 6(-1 + 2v) = -2(3v + -5) + 8v 4 + (-1 * 6 + 2v * 6) = -2(3v + -5) + 8v 4 + (-6 + 12v) = -2(3v + -5) + 8v Combine like terms: 4 + -6 = -2 -2 + 12v = -2(3v + -5) + 8v Reorder the terms: -2 + 12v = -2(-5 + 3v) + 8v -2 + 12v = (-5 * -2 + 3v * -2) + 8v -2 + 12v = (10 + -6v) + 8v Combine like terms: -6v + 8v = 2v -2 + 12v = 10 + 2v Solving -2 + 12v = 10 + 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. -2 + 12v + -2v = 10 + 2v + -2v Combine like terms: 12v + -2v = 10v -2 + 10v = 10 + 2v + -2v Combine like terms: 2v + -2v = 0 -2 + 10v = 10 + 0 -2 + 10v = 10 Add '2' to each side of the equation. -2 + 2 + 10v = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 10v = 10 + 2 10v = 10 + 2 Combine like terms: 10 + 2 = 12 10v = 12 Divide each side by '10'. v = 1.2 Simplifying v = 1.2
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