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Simplifying 6k + 36 = 4(k + 6) Reorder the terms: 36 + 6k = 4(k + 6) Reorder the terms: 36 + 6k = 4(6 + k) 36 + 6k = (6 * 4 + k * 4) 36 + 6k = (24 + 4k) Solving 36 + 6k = 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. 36 + 6k + -4k = 24 + 4k + -4k Combine like terms: 6k + -4k = 2k 36 + 2k = 24 + 4k + -4k Combine like terms: 4k + -4k = 0 36 + 2k = 24 + 0 36 + 2k = 24 Add '-36' to each side of the equation. 36 + -36 + 2k = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 2k = 24 + -36 2k = 24 + -36 Combine like terms: 24 + -36 = -12 2k = -12 Divide each side by '2'. k = -6 Simplifying k = -6
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