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Simplifying 3v + 15 = 9(v + -1) Reorder the terms: 15 + 3v = 9(v + -1) Reorder the terms: 15 + 3v = 9(-1 + v) 15 + 3v = (-1 * 9 + v * 9) 15 + 3v = (-9 + 9v) Solving 15 + 3v = -9 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 15 + 3v + -9v = -9 + 9v + -9v Combine like terms: 3v + -9v = -6v 15 + -6v = -9 + 9v + -9v Combine like terms: 9v + -9v = 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 = -24 -6v = -24 Divide each side by '-6'. v = 4 Simplifying v = 4
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