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Simplifying 4v + -12 = -4(v + 9) Reorder the terms: -12 + 4v = -4(v + 9) Reorder the terms: -12 + 4v = -4(9 + v) -12 + 4v = (9 * -4 + v * -4) -12 + 4v = (-36 + -4v) Solving -12 + 4v = -36 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -12 + 4v + 4v = -36 + -4v + 4v Combine like terms: 4v + 4v = 8v -12 + 8v = -36 + -4v + 4v Combine like terms: -4v + 4v = 0 -12 + 8v = -36 + 0 -12 + 8v = -36 Add '12' to each side of the equation. -12 + 12 + 8v = -36 + 12 Combine like terms: -12 + 12 = 0 0 + 8v = -36 + 12 8v = -36 + 12 Combine like terms: -36 + 12 = -24 8v = -24 Divide each side by '8'. v = -3 Simplifying v = -3
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