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Simplifying 11k + -1[k + (-1 + 5k)] = 0 Remove parenthesis around (-1 + 5k) 11k + -1[k + -1 + 5k] = 0 Reorder the terms: 11k + -1[-1 + k + 5k] = 0 Combine like terms: k + 5k = 6k 11k + -1[-1 + 6k] = 0 11k + [-1 * -1 + 6k * -1] = 0 11k + [1 + -6k] = 0 Reorder the terms: 1 + 11k + -6k = 0 Combine like terms: 11k + -6k = 5k 1 + 5k = 0 Solving 1 + 5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5k = 0 + -1 5k = 0 + -1 Combine like terms: 0 + -1 = -1 5k = -1 Divide each side by '5'. k = -0.2 Simplifying k = -0.2
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