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Simplifying 3(3v + -1) = 8v + -12 Reorder the terms: 3(-1 + 3v) = 8v + -12 (-1 * 3 + 3v * 3) = 8v + -12 (-3 + 9v) = 8v + -12 Reorder the terms: -3 + 9v = -12 + 8v Solving -3 + 9v = -12 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -3 + 9v + -8v = -12 + 8v + -8v Combine like terms: 9v + -8v = 1v -3 + 1v = -12 + 8v + -8v Combine like terms: 8v + -8v = 0 -3 + 1v = -12 + 0 -3 + 1v = -12 Add '3' to each side of the equation. -3 + 3 + 1v = -12 + 3 Combine like terms: -3 + 3 = 0 0 + 1v = -12 + 3 1v = -12 + 3 Combine like terms: -12 + 3 = -9 1v = -9 Divide each side by '1'. v = -9 Simplifying v = -9
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