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Simplifying 6(v + 2) = 9v + 36 Reorder the terms: 6(2 + v) = 9v + 36 (2 * 6 + v * 6) = 9v + 36 (12 + 6v) = 9v + 36 Reorder the terms: 12 + 6v = 36 + 9v Solving 12 + 6v = 36 + 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. 12 + 6v + -9v = 36 + 9v + -9v Combine like terms: 6v + -9v = -3v 12 + -3v = 36 + 9v + -9v Combine like terms: 9v + -9v = 0 12 + -3v = 36 + 0 12 + -3v = 36 Add '-12' to each side of the equation. 12 + -12 + -3v = 36 + -12 Combine like terms: 12 + -12 = 0 0 + -3v = 36 + -12 -3v = 36 + -12 Combine like terms: 36 + -12 = 24 -3v = 24 Divide each side by '-3'. v = -8 Simplifying v = -8
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