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Simplifying -4(6v + -2) = -8v + -40 Reorder the terms: -4(-2 + 6v) = -8v + -40 (-2 * -4 + 6v * -4) = -8v + -40 (8 + -24v) = -8v + -40 Reorder the terms: 8 + -24v = -40 + -8v Solving 8 + -24v = -40 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 8 + -24v + 8v = -40 + -8v + 8v Combine like terms: -24v + 8v = -16v 8 + -16v = -40 + -8v + 8v Combine like terms: -8v + 8v = 0 8 + -16v = -40 + 0 8 + -16v = -40 Add '-8' to each side of the equation. 8 + -8 + -16v = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -16v = -40 + -8 -16v = -40 + -8 Combine like terms: -40 + -8 = -48 -16v = -48 Divide each side by '-16'. v = 3 Simplifying v = 3
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