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Simplifying 3(v + 2) = 6v + -9 Reorder the terms: 3(2 + v) = 6v + -9 (2 * 3 + v * 3) = 6v + -9 (6 + 3v) = 6v + -9 Reorder the terms: 6 + 3v = -9 + 6v Solving 6 + 3v = -9 + 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. 6 + 3v + -6v = -9 + 6v + -6v Combine like terms: 3v + -6v = -3v 6 + -3v = -9 + 6v + -6v Combine like terms: 6v + -6v = 0 6 + -3v = -9 + 0 6 + -3v = -9 Add '-6' to each side of the equation. 6 + -6 + -3v = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -3v = -9 + -6 -3v = -9 + -6 Combine like terms: -9 + -6 = -15 -3v = -15 Divide each side by '-3'. v = 5 Simplifying v = 5
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