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Simplifying 6(v + 8) = 9v + 39 Reorder the terms: 6(8 + v) = 9v + 39 (8 * 6 + v * 6) = 9v + 39 (48 + 6v) = 9v + 39 Reorder the terms: 48 + 6v = 39 + 9v Solving 48 + 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. 48 + 6v + -9v = 39 + 9v + -9v Combine like terms: 6v + -9v = -3v 48 + -3v = 39 + 9v + -9v Combine like terms: 9v + -9v = 0 48 + -3v = 39 + 0 48 + -3v = 39 Add '-48' to each side of the equation. 48 + -48 + -3v = 39 + -48 Combine like terms: 48 + -48 = 0 0 + -3v = 39 + -48 -3v = 39 + -48 Combine like terms: 39 + -48 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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