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Simplifying 4(-3v + -3) = -2[-3v + -4(v + 5)] Reorder the terms: 4(-3 + -3v) = -2[-3v + -4(v + 5)] (-3 * 4 + -3v * 4) = -2[-3v + -4(v + 5)] (-12 + -12v) = -2[-3v + -4(v + 5)] Reorder the terms: -12 + -12v = -2[-3v + -4(5 + v)] -12 + -12v = -2[-3v + (5 * -4 + v * -4)] -12 + -12v = -2[-3v + (-20 + -4v)] Reorder the terms: -12 + -12v = -2[-20 + -3v + -4v] Combine like terms: -3v + -4v = -7v -12 + -12v = -2[-20 + -7v] -12 + -12v = [-20 * -2 + -7v * -2] -12 + -12v = [40 + 14v] Solving -12 + -12v = 40 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. -12 + -12v + -14v = 40 + 14v + -14v Combine like terms: -12v + -14v = -26v -12 + -26v = 40 + 14v + -14v Combine like terms: 14v + -14v = 0 -12 + -26v = 40 + 0 -12 + -26v = 40 Add '12' to each side of the equation. -12 + 12 + -26v = 40 + 12 Combine like terms: -12 + 12 = 0 0 + -26v = 40 + 12 -26v = 40 + 12 Combine like terms: 40 + 12 = 52 -26v = 52 Divide each side by '-26'. v = -2 Simplifying v = -2
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