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Simplifying 7v + 20 = 9(v + 2) Reorder the terms: 20 + 7v = 9(v + 2) Reorder the terms: 20 + 7v = 9(2 + v) 20 + 7v = (2 * 9 + v * 9) 20 + 7v = (18 + 9v) Solving 20 + 7v = 18 + 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. 20 + 7v + -9v = 18 + 9v + -9v Combine like terms: 7v + -9v = -2v 20 + -2v = 18 + 9v + -9v Combine like terms: 9v + -9v = 0 20 + -2v = 18 + 0 20 + -2v = 18 Add '-20' to each side of the equation. 20 + -20 + -2v = 18 + -20 Combine like terms: 20 + -20 = 0 0 + -2v = 18 + -20 -2v = 18 + -20 Combine like terms: 18 + -20 = -2 -2v = -2 Divide each side by '-2'. v = 1 Simplifying v = 1
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