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Simplifying 9v + 20 = 7(v + 4) Reorder the terms: 20 + 9v = 7(v + 4) Reorder the terms: 20 + 9v = 7(4 + v) 20 + 9v = (4 * 7 + v * 7) 20 + 9v = (28 + 7v) Solving 20 + 9v = 28 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 20 + 9v + -7v = 28 + 7v + -7v Combine like terms: 9v + -7v = 2v 20 + 2v = 28 + 7v + -7v Combine like terms: 7v + -7v = 0 20 + 2v = 28 + 0 20 + 2v = 28 Add '-20' to each side of the equation. 20 + -20 + 2v = 28 + -20 Combine like terms: 20 + -20 = 0 0 + 2v = 28 + -20 2v = 28 + -20 Combine like terms: 28 + -20 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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