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Simplifying -4(-4v + 6) + -2v = 4(v + -1) + -2 Reorder the terms: -4(6 + -4v) + -2v = 4(v + -1) + -2 (6 * -4 + -4v * -4) + -2v = 4(v + -1) + -2 (-24 + 16v) + -2v = 4(v + -1) + -2 Combine like terms: 16v + -2v = 14v -24 + 14v = 4(v + -1) + -2 Reorder the terms: -24 + 14v = 4(-1 + v) + -2 -24 + 14v = (-1 * 4 + v * 4) + -2 -24 + 14v = (-4 + 4v) + -2 Reorder the terms: -24 + 14v = -4 + -2 + 4v Combine like terms: -4 + -2 = -6 -24 + 14v = -6 + 4v Solving -24 + 14v = -6 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -24 + 14v + -4v = -6 + 4v + -4v Combine like terms: 14v + -4v = 10v -24 + 10v = -6 + 4v + -4v Combine like terms: 4v + -4v = 0 -24 + 10v = -6 + 0 -24 + 10v = -6 Add '24' to each side of the equation. -24 + 24 + 10v = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 10v = -6 + 24 10v = -6 + 24 Combine like terms: -6 + 24 = 18 10v = 18 Divide each side by '10'. v = 1.8 Simplifying v = 1.8
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