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Simplifying 9(v + 5) = -3v + -3 Reorder the terms: 9(5 + v) = -3v + -3 (5 * 9 + v * 9) = -3v + -3 (45 + 9v) = -3v + -3 Reorder the terms: 45 + 9v = -3 + -3v Solving 45 + 9v = -3 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 45 + 9v + 3v = -3 + -3v + 3v Combine like terms: 9v + 3v = 12v 45 + 12v = -3 + -3v + 3v Combine like terms: -3v + 3v = 0 45 + 12v = -3 + 0 45 + 12v = -3 Add '-45' to each side of the equation. 45 + -45 + 12v = -3 + -45 Combine like terms: 45 + -45 = 0 0 + 12v = -3 + -45 12v = -3 + -45 Combine like terms: -3 + -45 = -48 12v = -48 Divide each side by '12'. v = -4 Simplifying v = -4
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