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Simplifying 27 + 3k = 4(k + 6) Reorder the terms: 27 + 3k = 4(6 + k) 27 + 3k = (6 * 4 + k * 4) 27 + 3k = (24 + 4k) Solving 27 + 3k = 24 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 27 + 3k + -4k = 24 + 4k + -4k Combine like terms: 3k + -4k = -1k 27 + -1k = 24 + 4k + -4k Combine like terms: 4k + -4k = 0 27 + -1k = 24 + 0 27 + -1k = 24 Add '-27' to each side of the equation. 27 + -27 + -1k = 24 + -27 Combine like terms: 27 + -27 = 0 0 + -1k = 24 + -27 -1k = 24 + -27 Combine like terms: 24 + -27 = -3 -1k = -3 Divide each side by '-1'. k = 3 Simplifying k = 3
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