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Simplifying 7(v + 2) = 5v + 8 Reorder the terms: 7(2 + v) = 5v + 8 (2 * 7 + v * 7) = 5v + 8 (14 + 7v) = 5v + 8 Reorder the terms: 14 + 7v = 8 + 5v Solving 14 + 7v = 8 + 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. 14 + 7v + -5v = 8 + 5v + -5v Combine like terms: 7v + -5v = 2v 14 + 2v = 8 + 5v + -5v Combine like terms: 5v + -5v = 0 14 + 2v = 8 + 0 14 + 2v = 8 Add '-14' to each side of the equation. 14 + -14 + 2v = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 2v = 8 + -14 2v = 8 + -14 Combine like terms: 8 + -14 = -6 2v = -6 Divide each side by '2'. v = -3 Simplifying v = -3
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