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Simplifying 15(k + 6) = 3(k + 30) + 12k Reorder the terms: 15(6 + k) = 3(k + 30) + 12k (6 * 15 + k * 15) = 3(k + 30) + 12k (90 + 15k) = 3(k + 30) + 12k Reorder the terms: 90 + 15k = 3(30 + k) + 12k 90 + 15k = (30 * 3 + k * 3) + 12k 90 + 15k = (90 + 3k) + 12k Combine like terms: 3k + 12k = 15k 90 + 15k = 90 + 15k Add '-90' to each side of the equation. 90 + -90 + 15k = 90 + -90 + 15k Combine like terms: 90 + -90 = 0 0 + 15k = 90 + -90 + 15k 15k = 90 + -90 + 15k Combine like terms: 90 + -90 = 0 15k = 0 + 15k 15k = 15k Add '-15k' to each side of the equation. 15k + -15k = 15k + -15k Combine like terms: 15k + -15k = 0 0 = 15k + -15k Combine like terms: 15k + -15k = 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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