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Simplifying 3(2k + 3) + -11k + 4 + 5 = 0 Reorder the terms: 3(3 + 2k) + -11k + 4 + 5 = 0 (3 * 3 + 2k * 3) + -11k + 4 + 5 = 0 (9 + 6k) + -11k + 4 + 5 = 0 Reorder the terms: 9 + 4 + 5 + 6k + -11k = 0 Combine like terms: 9 + 4 = 13 13 + 5 + 6k + -11k = 0 Combine like terms: 13 + 5 = 18 18 + 6k + -11k = 0 Combine like terms: 6k + -11k = -5k 18 + -5k = 0 Solving 18 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -5k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -5k = 0 + -18 -5k = 0 + -18 Combine like terms: 0 + -18 = -18 -5k = -18 Divide each side by '-5'. k = 3.6 Simplifying k = 3.6
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