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Simplifying 2(v + 4) = 9v + -48 Reorder the terms: 2(4 + v) = 9v + -48 (4 * 2 + v * 2) = 9v + -48 (8 + 2v) = 9v + -48 Reorder the terms: 8 + 2v = -48 + 9v Solving 8 + 2v = -48 + 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. 8 + 2v + -9v = -48 + 9v + -9v Combine like terms: 2v + -9v = -7v 8 + -7v = -48 + 9v + -9v Combine like terms: 9v + -9v = 0 8 + -7v = -48 + 0 8 + -7v = -48 Add '-8' to each side of the equation. 8 + -8 + -7v = -48 + -8 Combine like terms: 8 + -8 = 0 0 + -7v = -48 + -8 -7v = -48 + -8 Combine like terms: -48 + -8 = -56 -7v = -56 Divide each side by '-7'. v = 8 Simplifying v = 8
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