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Simplifying 11k + 2[k + 1] = 5k + -6 Reorder the terms: 11k + 2[1 + k] = 5k + -6 11k + [1 * 2 + k * 2] = 5k + -6 11k + [2 + 2k] = 5k + -6 Reorder the terms: 2 + 11k + 2k = 5k + -6 Combine like terms: 11k + 2k = 13k 2 + 13k = 5k + -6 Reorder the terms: 2 + 13k = -6 + 5k Solving 2 + 13k = -6 + 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. 2 + 13k + -5k = -6 + 5k + -5k Combine like terms: 13k + -5k = 8k 2 + 8k = -6 + 5k + -5k Combine like terms: 5k + -5k = 0 2 + 8k = -6 + 0 2 + 8k = -6 Add '-2' to each side of the equation. 2 + -2 + 8k = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 8k = -6 + -2 8k = -6 + -2 Combine like terms: -6 + -2 = -8 8k = -8 Divide each side by '8'. k = -1 Simplifying k = -1
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