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Simplifying 3(2k + 3) + -11 + 4 + 5 = 0 Reorder the terms: 3(3 + 2k) + -11 + 4 + 5 = 0 (3 * 3 + 2k * 3) + -11 + 4 + 5 = 0 (9 + 6k) + -11 + 4 + 5 = 0 Reorder the terms: 9 + -11 + 4 + 5 + 6k = 0 Combine like terms: 9 + -11 = -2 -2 + 4 + 5 + 6k = 0 Combine like terms: -2 + 4 = 2 2 + 5 + 6k = 0 Combine like terms: 2 + 5 = 7 7 + 6k = 0 Solving 7 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6k = 0 + -7 6k = 0 + -7 Combine like terms: 0 + -7 = -7 6k = -7 Divide each side by '6'. k = -1.166666667 Simplifying k = -1.166666667
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