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Simplifying 3(v + 4) = 9v + -12 Reorder the terms: 3(4 + v) = 9v + -12 (4 * 3 + v * 3) = 9v + -12 (12 + 3v) = 9v + -12 Reorder the terms: 12 + 3v = -12 + 9v Solving 12 + 3v = -12 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 12 + 3v + -9v = -12 + 9v + -9v Combine like terms: 3v + -9v = -6v 12 + -6v = -12 + 9v + -9v Combine like terms: 9v + -9v = 0 12 + -6v = -12 + 0 12 + -6v = -12 Add '-12' to each side of the equation. 12 + -12 + -6v = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6v = -12 + -12 -6v = -12 + -12 Combine like terms: -12 + -12 = -24 -6v = -24 Divide each side by '-6'. v = 4 Simplifying v = 4
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