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Simplifying 6(v + 3) = 9v + 39 Reorder the terms: 6(3 + v) = 9v + 39 (3 * 6 + v * 6) = 9v + 39 (18 + 6v) = 9v + 39 Reorder the terms: 18 + 6v = 39 + 9v Solving 18 + 6v = 39 + 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. 18 + 6v + -9v = 39 + 9v + -9v Combine like terms: 6v + -9v = -3v 18 + -3v = 39 + 9v + -9v Combine like terms: 9v + -9v = 0 18 + -3v = 39 + 0 18 + -3v = 39 Add '-18' to each side of the equation. 18 + -18 + -3v = 39 + -18 Combine like terms: 18 + -18 = 0 0 + -3v = 39 + -18 -3v = 39 + -18 Combine like terms: 39 + -18 = 21 -3v = 21 Divide each side by '-3'. v = -7 Simplifying v = -7
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