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Simplifying 9v + 28 = 2(v + 7) Reorder the terms: 28 + 9v = 2(v + 7) Reorder the terms: 28 + 9v = 2(7 + v) 28 + 9v = (7 * 2 + v * 2) 28 + 9v = (14 + 2v) Solving 28 + 9v = 14 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 28 + 9v + -2v = 14 + 2v + -2v Combine like terms: 9v + -2v = 7v 28 + 7v = 14 + 2v + -2v Combine like terms: 2v + -2v = 0 28 + 7v = 14 + 0 28 + 7v = 14 Add '-28' to each side of the equation. 28 + -28 + 7v = 14 + -28 Combine like terms: 28 + -28 = 0 0 + 7v = 14 + -28 7v = 14 + -28 Combine like terms: 14 + -28 = -14 7v = -14 Divide each side by '7'. v = -2 Simplifying v = -2
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