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Simplifying 3k + 18 = 5(6 + k) Reorder the terms: 18 + 3k = 5(6 + k) 18 + 3k = (6 * 5 + k * 5) 18 + 3k = (30 + 5k) Solving 18 + 3k = 30 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 18 + 3k + -5k = 30 + 5k + -5k Combine like terms: 3k + -5k = -2k 18 + -2k = 30 + 5k + -5k Combine like terms: 5k + -5k = 0 18 + -2k = 30 + 0 18 + -2k = 30 Add '-18' to each side of the equation. 18 + -18 + -2k = 30 + -18 Combine like terms: 18 + -18 = 0 0 + -2k = 30 + -18 -2k = 30 + -18 Combine like terms: 30 + -18 = 12 -2k = 12 Divide each side by '-2'. k = -6 Simplifying k = -6
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