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Simplifying -4(v + 2) = -3(8v + -2) + 8v Reorder the terms: -4(2 + v) = -3(8v + -2) + 8v (2 * -4 + v * -4) = -3(8v + -2) + 8v (-8 + -4v) = -3(8v + -2) + 8v Reorder the terms: -8 + -4v = -3(-2 + 8v) + 8v -8 + -4v = (-2 * -3 + 8v * -3) + 8v -8 + -4v = (6 + -24v) + 8v Combine like terms: -24v + 8v = -16v -8 + -4v = 6 + -16v Solving -8 + -4v = 6 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. -8 + -4v + 16v = 6 + -16v + 16v Combine like terms: -4v + 16v = 12v -8 + 12v = 6 + -16v + 16v Combine like terms: -16v + 16v = 0 -8 + 12v = 6 + 0 -8 + 12v = 6 Add '8' to each side of the equation. -8 + 8 + 12v = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 12v = 6 + 8 12v = 6 + 8 Combine like terms: 6 + 8 = 14 12v = 14 Divide each side by '12'. v = 1.166666667 Simplifying v = 1.166666667
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