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Simplifying 3(3v + 8) + -3 = 6(v + 6) Reorder the terms: 3(8 + 3v) + -3 = 6(v + 6) (8 * 3 + 3v * 3) + -3 = 6(v + 6) (24 + 9v) + -3 = 6(v + 6) Reorder the terms: 24 + -3 + 9v = 6(v + 6) Combine like terms: 24 + -3 = 21 21 + 9v = 6(v + 6) Reorder the terms: 21 + 9v = 6(6 + v) 21 + 9v = (6 * 6 + v * 6) 21 + 9v = (36 + 6v) Solving 21 + 9v = 36 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 21 + 9v + -6v = 36 + 6v + -6v Combine like terms: 9v + -6v = 3v 21 + 3v = 36 + 6v + -6v Combine like terms: 6v + -6v = 0 21 + 3v = 36 + 0 21 + 3v = 36 Add '-21' to each side of the equation. 21 + -21 + 3v = 36 + -21 Combine like terms: 21 + -21 = 0 0 + 3v = 36 + -21 3v = 36 + -21 Combine like terms: 36 + -21 = 15 3v = 15 Divide each side by '3'. v = 5 Simplifying v = 5
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