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Simplifying 6(k + -7) + -2 = -2k + 4 + 8k + 36 Reorder the terms: 6(-7 + k) + -2 = -2k + 4 + 8k + 36 (-7 * 6 + k * 6) + -2 = -2k + 4 + 8k + 36 (-42 + 6k) + -2 = -2k + 4 + 8k + 36 Reorder the terms: -42 + -2 + 6k = -2k + 4 + 8k + 36 Combine like terms: -42 + -2 = -44 -44 + 6k = -2k + 4 + 8k + 36 Reorder the terms: -44 + 6k = 4 + 36 + -2k + 8k Combine like terms: 4 + 36 = 40 -44 + 6k = 40 + -2k + 8k Combine like terms: -2k + 8k = 6k -44 + 6k = 40 + 6k Add '-6k' to each side of the equation. -44 + 6k + -6k = 40 + 6k + -6k Combine like terms: 6k + -6k = 0 -44 + 0 = 40 + 6k + -6k -44 = 40 + 6k + -6k Combine like terms: 6k + -6k = 0 -44 = 40 + 0 -44 = 40 Solving -44 = 40 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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