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Simplifying v + -8v = -8(3v + 8) + -4(-3v + -1) Combine like terms: v + -8v = -7v -7v = -8(3v + 8) + -4(-3v + -1) Reorder the terms: -7v = -8(8 + 3v) + -4(-3v + -1) -7v = (8 * -8 + 3v * -8) + -4(-3v + -1) -7v = (-64 + -24v) + -4(-3v + -1) Reorder the terms: -7v = -64 + -24v + -4(-1 + -3v) -7v = -64 + -24v + (-1 * -4 + -3v * -4) -7v = -64 + -24v + (4 + 12v) Reorder the terms: -7v = -64 + 4 + -24v + 12v Combine like terms: -64 + 4 = -60 -7v = -60 + -24v + 12v Combine like terms: -24v + 12v = -12v -7v = -60 + -12v Solving -7v = -60 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -7v + 12v = -60 + -12v + 12v Combine like terms: -7v + 12v = 5v 5v = -60 + -12v + 12v Combine like terms: -12v + 12v = 0 5v = -60 + 0 5v = -60 Divide each side by '5'. v = -12 Simplifying v = -12
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