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Simplifying -3(3 + -12v) + 12v = -1 + -4(-11v + 3) (3 * -3 + -12v * -3) + 12v = -1 + -4(-11v + 3) (-9 + 36v) + 12v = -1 + -4(-11v + 3) Combine like terms: 36v + 12v = 48v -9 + 48v = -1 + -4(-11v + 3) Reorder the terms: -9 + 48v = -1 + -4(3 + -11v) -9 + 48v = -1 + (3 * -4 + -11v * -4) -9 + 48v = -1 + (-12 + 44v) Combine like terms: -1 + -12 = -13 -9 + 48v = -13 + 44v Solving -9 + 48v = -13 + 44v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-44v' to each side of the equation. -9 + 48v + -44v = -13 + 44v + -44v Combine like terms: 48v + -44v = 4v -9 + 4v = -13 + 44v + -44v Combine like terms: 44v + -44v = 0 -9 + 4v = -13 + 0 -9 + 4v = -13 Add '9' to each side of the equation. -9 + 9 + 4v = -13 + 9 Combine like terms: -9 + 9 = 0 0 + 4v = -13 + 9 4v = -13 + 9 Combine like terms: -13 + 9 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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