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Simplifying 3(v + 9) = 6v + -3 Reorder the terms: 3(9 + v) = 6v + -3 (9 * 3 + v * 3) = 6v + -3 (27 + 3v) = 6v + -3 Reorder the terms: 27 + 3v = -3 + 6v Solving 27 + 3v = -3 + 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. 27 + 3v + -6v = -3 + 6v + -6v Combine like terms: 3v + -6v = -3v 27 + -3v = -3 + 6v + -6v Combine like terms: 6v + -6v = 0 27 + -3v = -3 + 0 27 + -3v = -3 Add '-27' to each side of the equation. 27 + -27 + -3v = -3 + -27 Combine like terms: 27 + -27 = 0 0 + -3v = -3 + -27 -3v = -3 + -27 Combine like terms: -3 + -27 = -30 -3v = -30 Divide each side by '-3'. v = 10 Simplifying v = 10
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