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Simplifying 6(3k + 1) + 5 = 3(6k + 3) + 2 Reorder the terms: 6(1 + 3k) + 5 = 3(6k + 3) + 2 (1 * 6 + 3k * 6) + 5 = 3(6k + 3) + 2 (6 + 18k) + 5 = 3(6k + 3) + 2 Reorder the terms: 6 + 5 + 18k = 3(6k + 3) + 2 Combine like terms: 6 + 5 = 11 11 + 18k = 3(6k + 3) + 2 Reorder the terms: 11 + 18k = 3(3 + 6k) + 2 11 + 18k = (3 * 3 + 6k * 3) + 2 11 + 18k = (9 + 18k) + 2 Reorder the terms: 11 + 18k = 9 + 2 + 18k Combine like terms: 9 + 2 = 11 11 + 18k = 11 + 18k Add '-11' to each side of the equation. 11 + -11 + 18k = 11 + -11 + 18k Combine like terms: 11 + -11 = 0 0 + 18k = 11 + -11 + 18k 18k = 11 + -11 + 18k Combine like terms: 11 + -11 = 0 18k = 0 + 18k 18k = 18k Add '-18k' to each side of the equation. 18k + -18k = 18k + -18k Combine like terms: 18k + -18k = 0 0 = 18k + -18k Combine like terms: 18k + -18k = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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