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Simplifying 9(v + 4) = -3v + -48 Reorder the terms: 9(4 + v) = -3v + -48 (4 * 9 + v * 9) = -3v + -48 (36 + 9v) = -3v + -48 Reorder the terms: 36 + 9v = -48 + -3v Solving 36 + 9v = -48 + -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. 36 + 9v + 3v = -48 + -3v + 3v Combine like terms: 9v + 3v = 12v 36 + 12v = -48 + -3v + 3v Combine like terms: -3v + 3v = 0 36 + 12v = -48 + 0 36 + 12v = -48 Add '-36' to each side of the equation. 36 + -36 + 12v = -48 + -36 Combine like terms: 36 + -36 = 0 0 + 12v = -48 + -36 12v = -48 + -36 Combine like terms: -48 + -36 = -84 12v = -84 Divide each side by '12'. v = -7 Simplifying v = -7
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