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Simplifying -3k + 5(6 + -1k) = 4(1 + -2k) + 6 -3k + (6 * 5 + -1k * 5) = 4(1 + -2k) + 6 -3k + (30 + -5k) = 4(1 + -2k) + 6 Reorder the terms: 30 + -3k + -5k = 4(1 + -2k) + 6 Combine like terms: -3k + -5k = -8k 30 + -8k = 4(1 + -2k) + 6 30 + -8k = (1 * 4 + -2k * 4) + 6 30 + -8k = (4 + -8k) + 6 Reorder the terms: 30 + -8k = 4 + 6 + -8k Combine like terms: 4 + 6 = 10 30 + -8k = 10 + -8k Add '8k' to each side of the equation. 30 + -8k + 8k = 10 + -8k + 8k Combine like terms: -8k + 8k = 0 30 + 0 = 10 + -8k + 8k 30 = 10 + -8k + 8k Combine like terms: -8k + 8k = 0 30 = 10 + 0 30 = 10 Solving 30 = 10 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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