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Simplifying 6v + 15 = 9(v + 3) Reorder the terms: 15 + 6v = 9(v + 3) Reorder the terms: 15 + 6v = 9(3 + v) 15 + 6v = (3 * 9 + v * 9) 15 + 6v = (27 + 9v) Solving 15 + 6v = 27 + 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 + 6v + -9v = 27 + 9v + -9v Combine like terms: 6v + -9v = -3v 15 + -3v = 27 + 9v + -9v Combine like terms: 9v + -9v = 0 15 + -3v = 27 + 0 15 + -3v = 27 Add '-15' to each side of the equation. 15 + -15 + -3v = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -3v = 27 + -15 -3v = 27 + -15 Combine like terms: 27 + -15 = 12 -3v = 12 Divide each side by '-3'. v = -4 Simplifying v = -4
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