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Simplifying -3(-8v + 4) + -8v = 4(v + -1) + -4 Reorder the terms: -3(4 + -8v) + -8v = 4(v + -1) + -4 (4 * -3 + -8v * -3) + -8v = 4(v + -1) + -4 (-12 + 24v) + -8v = 4(v + -1) + -4 Combine like terms: 24v + -8v = 16v -12 + 16v = 4(v + -1) + -4 Reorder the terms: -12 + 16v = 4(-1 + v) + -4 -12 + 16v = (-1 * 4 + v * 4) + -4 -12 + 16v = (-4 + 4v) + -4 Reorder the terms: -12 + 16v = -4 + -4 + 4v Combine like terms: -4 + -4 = -8 -12 + 16v = -8 + 4v Solving -12 + 16v = -8 + 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. -12 + 16v + -4v = -8 + 4v + -4v Combine like terms: 16v + -4v = 12v -12 + 12v = -8 + 4v + -4v Combine like terms: 4v + -4v = 0 -12 + 12v = -8 + 0 -12 + 12v = -8 Add '12' to each side of the equation. -12 + 12 + 12v = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 12v = -8 + 12 12v = -8 + 12 Combine like terms: -8 + 12 = 4 12v = 4 Divide each side by '12'. v = 0.3333333333 Simplifying v = 0.3333333333
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