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Simplifying 3(-1 + 3n) + -3(n + 3) = 12 + 6n (-1 * 3 + 3n * 3) + -3(n + 3) = 12 + 6n (-3 + 9n) + -3(n + 3) = 12 + 6n Reorder the terms: -3 + 9n + -3(3 + n) = 12 + 6n -3 + 9n + (3 * -3 + n * -3) = 12 + 6n -3 + 9n + (-9 + -3n) = 12 + 6n Reorder the terms: -3 + -9 + 9n + -3n = 12 + 6n Combine like terms: -3 + -9 = -12 -12 + 9n + -3n = 12 + 6n Combine like terms: 9n + -3n = 6n -12 + 6n = 12 + 6n Add '-6n' to each side of the equation. -12 + 6n + -6n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -12 + 0 = 12 + 6n + -6n -12 = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -12 = 12 + 0 -12 = 12 Solving -12 = 12 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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