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Simplifying -11k + 5[3k + 6] = 6[k + -1] Reorder the terms: -11k + 5[6 + 3k] = 6[k + -1] -11k + [6 * 5 + 3k * 5] = 6[k + -1] -11k + [30 + 15k] = 6[k + -1] Reorder the terms: 30 + -11k + 15k = 6[k + -1] Combine like terms: -11k + 15k = 4k 30 + 4k = 6[k + -1] Reorder the terms: 30 + 4k = 6[-1 + k] 30 + 4k = [-1 * 6 + k * 6] 30 + 4k = [-6 + 6k] Solving 30 + 4k = -6 + 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. 30 + 4k + -6k = -6 + 6k + -6k Combine like terms: 4k + -6k = -2k 30 + -2k = -6 + 6k + -6k Combine like terms: 6k + -6k = 0 30 + -2k = -6 + 0 30 + -2k = -6 Add '-30' to each side of the equation. 30 + -30 + -2k = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -2k = -6 + -30 -2k = -6 + -30 Combine like terms: -6 + -30 = -36 -2k = -36 Divide each side by '-2'. k = 18 Simplifying k = 18
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