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Simplifying 9(v + 3) = 6v + 15 Reorder the terms: 9(3 + v) = 6v + 15 (3 * 9 + v * 9) = 6v + 15 (27 + 9v) = 6v + 15 Reorder the terms: 27 + 9v = 15 + 6v Solving 27 + 9v = 15 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 27 + 9v + -6v = 15 + 6v + -6v Combine like terms: 9v + -6v = 3v 27 + 3v = 15 + 6v + -6v Combine like terms: 6v + -6v = 0 27 + 3v = 15 + 0 27 + 3v = 15 Add '-27' to each side of the equation. 27 + -27 + 3v = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 3v = 15 + -27 3v = 15 + -27 Combine like terms: 15 + -27 = -12 3v = -12 Divide each side by '3'. v = -4 Simplifying v = -4
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