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Simplifying 9v + 15 = 3(v + 3) Reorder the terms: 15 + 9v = 3(v + 3) Reorder the terms: 15 + 9v = 3(3 + v) 15 + 9v = (3 * 3 + v * 3) 15 + 9v = (9 + 3v) Solving 15 + 9v = 9 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 15 + 9v + -3v = 9 + 3v + -3v Combine like terms: 9v + -3v = 6v 15 + 6v = 9 + 3v + -3v Combine like terms: 3v + -3v = 0 15 + 6v = 9 + 0 15 + 6v = 9 Add '-15' to each side of the equation. 15 + -15 + 6v = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 6v = 9 + -15 6v = 9 + -15 Combine like terms: 9 + -15 = -6 6v = -6 Divide each side by '6'. v = -1 Simplifying v = -1
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