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Simplifying 6(v + 6) = 9v + 15 Reorder the terms: 6(6 + v) = 9v + 15 (6 * 6 + v * 6) = 9v + 15 (36 + 6v) = 9v + 15 Reorder the terms: 36 + 6v = 15 + 9v Solving 36 + 6v = 15 + 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. 36 + 6v + -9v = 15 + 9v + -9v Combine like terms: 6v + -9v = -3v 36 + -3v = 15 + 9v + -9v Combine like terms: 9v + -9v = 0 36 + -3v = 15 + 0 36 + -3v = 15 Add '-36' to each side of the equation. 36 + -36 + -3v = 15 + -36 Combine like terms: 36 + -36 = 0 0 + -3v = 15 + -36 -3v = 15 + -36 Combine like terms: 15 + -36 = -21 -3v = -21 Divide each side by '-3'. v = 7 Simplifying v = 7
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