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Simplifying 6k + -5 = 4(k + -1) + 2(k + 3) Reorder the terms: -5 + 6k = 4(k + -1) + 2(k + 3) Reorder the terms: -5 + 6k = 4(-1 + k) + 2(k + 3) -5 + 6k = (-1 * 4 + k * 4) + 2(k + 3) -5 + 6k = (-4 + 4k) + 2(k + 3) Reorder the terms: -5 + 6k = -4 + 4k + 2(3 + k) -5 + 6k = -4 + 4k + (3 * 2 + k * 2) -5 + 6k = -4 + 4k + (6 + 2k) Reorder the terms: -5 + 6k = -4 + 6 + 4k + 2k Combine like terms: -4 + 6 = 2 -5 + 6k = 2 + 4k + 2k Combine like terms: 4k + 2k = 6k -5 + 6k = 2 + 6k Add '-6k' to each side of the equation. -5 + 6k + -6k = 2 + 6k + -6k Combine like terms: 6k + -6k = 0 -5 + 0 = 2 + 6k + -6k -5 = 2 + 6k + -6k Combine like terms: 6k + -6k = 0 -5 = 2 + 0 -5 = 2 Solving -5 = 2 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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