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Simplifying 7(v + 1) = 5v + 17 Reorder the terms: 7(1 + v) = 5v + 17 (1 * 7 + v * 7) = 5v + 17 (7 + 7v) = 5v + 17 Reorder the terms: 7 + 7v = 17 + 5v Solving 7 + 7v = 17 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 7 + 7v + -5v = 17 + 5v + -5v Combine like terms: 7v + -5v = 2v 7 + 2v = 17 + 5v + -5v Combine like terms: 5v + -5v = 0 7 + 2v = 17 + 0 7 + 2v = 17 Add '-7' to each side of the equation. 7 + -7 + 2v = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 2v = 17 + -7 2v = 17 + -7 Combine like terms: 17 + -7 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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