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Simplifying 5(10k + 1) + 2(2 + 8k) = 66k + 9 Reorder the terms: 5(1 + 10k) + 2(2 + 8k) = 66k + 9 (1 * 5 + 10k * 5) + 2(2 + 8k) = 66k + 9 (5 + 50k) + 2(2 + 8k) = 66k + 9 5 + 50k + (2 * 2 + 8k * 2) = 66k + 9 5 + 50k + (4 + 16k) = 66k + 9 Reorder the terms: 5 + 4 + 50k + 16k = 66k + 9 Combine like terms: 5 + 4 = 9 9 + 50k + 16k = 66k + 9 Combine like terms: 50k + 16k = 66k 9 + 66k = 66k + 9 Reorder the terms: 9 + 66k = 9 + 66k Add '-9' to each side of the equation. 9 + -9 + 66k = 9 + -9 + 66k Combine like terms: 9 + -9 = 0 0 + 66k = 9 + -9 + 66k 66k = 9 + -9 + 66k Combine like terms: 9 + -9 = 0 66k = 0 + 66k 66k = 66k Add '-66k' to each side of the equation. 66k + -66k = 66k + -66k Combine like terms: 66k + -66k = 0 0 = 66k + -66k Combine like terms: 66k + -66k = 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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