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Simplifying 6(v + 1) = 9v + 12 Reorder the terms: 6(1 + v) = 9v + 12 (1 * 6 + v * 6) = 9v + 12 (6 + 6v) = 9v + 12 Reorder the terms: 6 + 6v = 12 + 9v Solving 6 + 6v = 12 + 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. 6 + 6v + -9v = 12 + 9v + -9v Combine like terms: 6v + -9v = -3v 6 + -3v = 12 + 9v + -9v Combine like terms: 9v + -9v = 0 6 + -3v = 12 + 0 6 + -3v = 12 Add '-6' to each side of the equation. 6 + -6 + -3v = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -3v = 12 + -6 -3v = 12 + -6 Combine like terms: 12 + -6 = 6 -3v = 6 Divide each side by '-3'. v = -2 Simplifying v = -2
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