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Simplifying -2(8v + 12) = 8(-3v + -7) Reorder the terms: -2(12 + 8v) = 8(-3v + -7) (12 * -2 + 8v * -2) = 8(-3v + -7) (-24 + -16v) = 8(-3v + -7) Reorder the terms: -24 + -16v = 8(-7 + -3v) -24 + -16v = (-7 * 8 + -3v * 8) -24 + -16v = (-56 + -24v) Solving -24 + -16v = -56 + -24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24v' to each side of the equation. -24 + -16v + 24v = -56 + -24v + 24v Combine like terms: -16v + 24v = 8v -24 + 8v = -56 + -24v + 24v Combine like terms: -24v + 24v = 0 -24 + 8v = -56 + 0 -24 + 8v = -56 Add '24' to each side of the equation. -24 + 24 + 8v = -56 + 24 Combine like terms: -24 + 24 = 0 0 + 8v = -56 + 24 8v = -56 + 24 Combine like terms: -56 + 24 = -32 8v = -32 Divide each side by '8'. v = -4 Simplifying v = -4
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