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Simplifying 9v + 7 = 5(v + 7) Reorder the terms: 7 + 9v = 5(v + 7) Reorder the terms: 7 + 9v = 5(7 + v) 7 + 9v = (7 * 5 + v * 5) 7 + 9v = (35 + 5v) Solving 7 + 9v = 35 + 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 + 9v + -5v = 35 + 5v + -5v Combine like terms: 9v + -5v = 4v 7 + 4v = 35 + 5v + -5v Combine like terms: 5v + -5v = 0 7 + 4v = 35 + 0 7 + 4v = 35 Add '-7' to each side of the equation. 7 + -7 + 4v = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 4v = 35 + -7 4v = 35 + -7 Combine like terms: 35 + -7 = 28 4v = 28 Divide each side by '4'. v = 7 Simplifying v = 7
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