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Simplifying 5(k + 3) = k + 27 Reorder the terms: 5(3 + k) = k + 27 (3 * 5 + k * 5) = k + 27 (15 + 5k) = k + 27 Reorder the terms: 15 + 5k = 27 + k Solving 15 + 5k = 27 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 15 + 5k + -1k = 27 + k + -1k Combine like terms: 5k + -1k = 4k 15 + 4k = 27 + k + -1k Combine like terms: k + -1k = 0 15 + 4k = 27 + 0 15 + 4k = 27 Add '-15' to each side of the equation. 15 + -15 + 4k = 27 + -15 Combine like terms: 15 + -15 = 0 0 + 4k = 27 + -15 4k = 27 + -15 Combine like terms: 27 + -15 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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