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Simplifying 7(v + 2) + 2v + 6 = 7v + 7 Reorder the terms: 7(2 + v) + 2v + 6 = 7v + 7 (2 * 7 + v * 7) + 2v + 6 = 7v + 7 (14 + 7v) + 2v + 6 = 7v + 7 Reorder the terms: 14 + 6 + 7v + 2v = 7v + 7 Combine like terms: 14 + 6 = 20 20 + 7v + 2v = 7v + 7 Combine like terms: 7v + 2v = 9v 20 + 9v = 7v + 7 Reorder the terms: 20 + 9v = 7 + 7v Solving 20 + 9v = 7 + 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 = 7 + 7v + -7v Combine like terms: 9v + -7v = 2v 20 + 2v = 7 + 7v + -7v Combine like terms: 7v + -7v = 0 20 + 2v = 7 + 0 20 + 2v = 7 Add '-20' to each side of the equation. 20 + -20 + 2v = 7 + -20 Combine like terms: 20 + -20 = 0 0 + 2v = 7 + -20 2v = 7 + -20 Combine like terms: 7 + -20 = -13 2v = -13 Divide each side by '2'. v = -6.5 Simplifying v = -6.5
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