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Simplifying 18 + k = 2(3k + 1) Reorder the terms: 18 + k = 2(1 + 3k) 18 + k = (1 * 2 + 3k * 2) 18 + k = (2 + 6k) Solving 18 + k = 2 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 18 + k + -6k = 2 + 6k + -6k Combine like terms: k + -6k = -5k 18 + -5k = 2 + 6k + -6k Combine like terms: 6k + -6k = 0 18 + -5k = 2 + 0 18 + -5k = 2 Add '-18' to each side of the equation. 18 + -18 + -5k = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -5k = 2 + -18 -5k = 2 + -18 Combine like terms: 2 + -18 = -16 -5k = -16 Divide each side by '-5'. k = 3.2 Simplifying k = 3.2
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