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Simplifying -4(-6v + 4) + -6v = 2(v + -1) + -8 Reorder the terms: -4(4 + -6v) + -6v = 2(v + -1) + -8 (4 * -4 + -6v * -4) + -6v = 2(v + -1) + -8 (-16 + 24v) + -6v = 2(v + -1) + -8 Combine like terms: 24v + -6v = 18v -16 + 18v = 2(v + -1) + -8 Reorder the terms: -16 + 18v = 2(-1 + v) + -8 -16 + 18v = (-1 * 2 + v * 2) + -8 -16 + 18v = (-2 + 2v) + -8 Reorder the terms: -16 + 18v = -2 + -8 + 2v Combine like terms: -2 + -8 = -10 -16 + 18v = -10 + 2v Solving -16 + 18v = -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. -16 + 18v + -2v = -10 + 2v + -2v Combine like terms: 18v + -2v = 16v -16 + 16v = -10 + 2v + -2v Combine like terms: 2v + -2v = 0 -16 + 16v = -10 + 0 -16 + 16v = -10 Add '16' to each side of the equation. -16 + 16 + 16v = -10 + 16 Combine like terms: -16 + 16 = 0 0 + 16v = -10 + 16 16v = -10 + 16 Combine like terms: -10 + 16 = 6 16v = 6 Divide each side by '16'. v = 0.375 Simplifying v = 0.375
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