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Simplifying 3(v + 8) = 9v + 6 Reorder the terms: 3(8 + v) = 9v + 6 (8 * 3 + v * 3) = 9v + 6 (24 + 3v) = 9v + 6 Reorder the terms: 24 + 3v = 6 + 9v Solving 24 + 3v = 6 + 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. 24 + 3v + -9v = 6 + 9v + -9v Combine like terms: 3v + -9v = -6v 24 + -6v = 6 + 9v + -9v Combine like terms: 9v + -9v = 0 24 + -6v = 6 + 0 24 + -6v = 6 Add '-24' to each side of the equation. 24 + -24 + -6v = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -6v = 6 + -24 -6v = 6 + -24 Combine like terms: 6 + -24 = -18 -6v = -18 Divide each side by '-6'. v = 3 Simplifying v = 3
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