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Simplifying 3v + 30 = -9(v + 6) Reorder the terms: 30 + 3v = -9(v + 6) Reorder the terms: 30 + 3v = -9(6 + v) 30 + 3v = (6 * -9 + v * -9) 30 + 3v = (-54 + -9v) Solving 30 + 3v = -54 + -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. 30 + 3v + 9v = -54 + -9v + 9v Combine like terms: 3v + 9v = 12v 30 + 12v = -54 + -9v + 9v Combine like terms: -9v + 9v = 0 30 + 12v = -54 + 0 30 + 12v = -54 Add '-30' to each side of the equation. 30 + -30 + 12v = -54 + -30 Combine like terms: 30 + -30 = 0 0 + 12v = -54 + -30 12v = -54 + -30 Combine like terms: -54 + -30 = -84 12v = -84 Divide each side by '12'. v = -7 Simplifying v = -7
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