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Simplifying 3v + 12 = -9(v + 8) Reorder the terms: 12 + 3v = -9(v + 8) Reorder the terms: 12 + 3v = -9(8 + v) 12 + 3v = (8 * -9 + v * -9) 12 + 3v = (-72 + -9v) Solving 12 + 3v = -72 + -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 = -72 + -9v + 9v Combine like terms: 3v + 9v = 12v 12 + 12v = -72 + -9v + 9v Combine like terms: -9v + 9v = 0 12 + 12v = -72 + 0 12 + 12v = -72 Add '-12' to each side of the equation. 12 + -12 + 12v = -72 + -12 Combine like terms: 12 + -12 = 0 0 + 12v = -72 + -12 12v = -72 + -12 Combine like terms: -72 + -12 = -84 12v = -84 Divide each side by '12'. v = -7 Simplifying v = -7
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