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Simplifying 18 + 6k = 6k + 6(5k + 3) Reorder the terms: 18 + 6k = 6k + 6(3 + 5k) 18 + 6k = 6k + (3 * 6 + 5k * 6) 18 + 6k = 6k + (18 + 30k) Reorder the terms: 18 + 6k = 18 + 6k + 30k Combine like terms: 6k + 30k = 36k 18 + 6k = 18 + 36k Add '-18' to each side of the equation. 18 + -18 + 6k = 18 + -18 + 36k Combine like terms: 18 + -18 = 0 0 + 6k = 18 + -18 + 36k 6k = 18 + -18 + 36k Combine like terms: 18 + -18 = 0 6k = 0 + 36k 6k = 36k Solving 6k = 36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36k' to each side of the equation. 6k + -36k = 36k + -36k Combine like terms: 6k + -36k = -30k -30k = 36k + -36k Combine like terms: 36k + -36k = 0 -30k = 0 Divide each side by '-30'. k = 0.0 Simplifying k = 0.0
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