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Simplifying 11(k + -2) + [k + -3(k + 1)] = 0 Reorder the terms: 11(-2 + k) + [k + -3(k + 1)] = 0 (-2 * 11 + k * 11) + [k + -3(k + 1)] = 0 (-22 + 11k) + [k + -3(k + 1)] = 0 Reorder the terms: -22 + 11k + [k + -3(1 + k)] = 0 -22 + 11k + [k + (1 * -3 + k * -3)] = 0 -22 + 11k + [k + (-3 + -3k)] = 0 Reorder the terms: -22 + 11k + [-3 + k + -3k] = 0 Combine like terms: k + -3k = -2k -22 + 11k + [-3 + -2k] = 0 Remove brackets around [-3 + -2k] -22 + 11k + -3 + -2k = 0 Reorder the terms: -22 + -3 + 11k + -2k = 0 Combine like terms: -22 + -3 = -25 -25 + 11k + -2k = 0 Combine like terms: 11k + -2k = 9k -25 + 9k = 0 Solving -25 + 9k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 9k = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 9k = 0 + 25 9k = 0 + 25 Combine like terms: 0 + 25 = 25 9k = 25 Divide each side by '9'. k = 2.777777778 Simplifying k = 2.777777778
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