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Simplifying 7(v + 7) = 2v + 9 Reorder the terms: 7(7 + v) = 2v + 9 (7 * 7 + v * 7) = 2v + 9 (49 + 7v) = 2v + 9 Reorder the terms: 49 + 7v = 9 + 2v Solving 49 + 7v = 9 + 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. 49 + 7v + -2v = 9 + 2v + -2v Combine like terms: 7v + -2v = 5v 49 + 5v = 9 + 2v + -2v Combine like terms: 2v + -2v = 0 49 + 5v = 9 + 0 49 + 5v = 9 Add '-49' to each side of the equation. 49 + -49 + 5v = 9 + -49 Combine like terms: 49 + -49 = 0 0 + 5v = 9 + -49 5v = 9 + -49 Combine like terms: 9 + -49 = -40 5v = -40 Divide each side by '5'. v = -8 Simplifying v = -8
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