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Simplifying 7v + 5 = 5(v + 3) Reorder the terms: 5 + 7v = 5(v + 3) Reorder the terms: 5 + 7v = 5(3 + v) 5 + 7v = (3 * 5 + v * 5) 5 + 7v = (15 + 5v) Solving 5 + 7v = 15 + 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. 5 + 7v + -5v = 15 + 5v + -5v Combine like terms: 7v + -5v = 2v 5 + 2v = 15 + 5v + -5v Combine like terms: 5v + -5v = 0 5 + 2v = 15 + 0 5 + 2v = 15 Add '-5' to each side of the equation. 5 + -5 + 2v = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 2v = 15 + -5 2v = 15 + -5 Combine like terms: 15 + -5 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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