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Simplifying -9k + -12 + 3k = 4(-2k + 5) + 2k Reorder the terms: -12 + -9k + 3k = 4(-2k + 5) + 2k Combine like terms: -9k + 3k = -6k -12 + -6k = 4(-2k + 5) + 2k Reorder the terms: -12 + -6k = 4(5 + -2k) + 2k -12 + -6k = (5 * 4 + -2k * 4) + 2k -12 + -6k = (20 + -8k) + 2k Combine like terms: -8k + 2k = -6k -12 + -6k = 20 + -6k Add '6k' to each side of the equation. -12 + -6k + 6k = 20 + -6k + 6k Combine like terms: -6k + 6k = 0 -12 + 0 = 20 + -6k + 6k -12 = 20 + -6k + 6k Combine like terms: -6k + 6k = 0 -12 = 20 + 0 -12 = 20 Solving -12 = 20 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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