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Simplifying 2(3k + 4) = 3k + 7 + 3k + 1 Reorder the terms: 2(4 + 3k) = 3k + 7 + 3k + 1 (4 * 2 + 3k * 2) = 3k + 7 + 3k + 1 (8 + 6k) = 3k + 7 + 3k + 1 Reorder the terms: 8 + 6k = 7 + 1 + 3k + 3k Combine like terms: 7 + 1 = 8 8 + 6k = 8 + 3k + 3k Combine like terms: 3k + 3k = 6k 8 + 6k = 8 + 6k Add '-8' to each side of the equation. 8 + -8 + 6k = 8 + -8 + 6k Combine like terms: 8 + -8 = 0 0 + 6k = 8 + -8 + 6k 6k = 8 + -8 + 6k Combine like terms: 8 + -8 = 0 6k = 0 + 6k 6k = 6k Add '-6k' to each side of the equation. 6k + -6k = 6k + -6k Combine like terms: 6k + -6k = 0 0 = 6k + -6k Combine like terms: 6k + -6k = 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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