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Simplifying 6(k + 9) + -8(1 + -6k) = 0 Reorder the terms: 6(9 + k) + -8(1 + -6k) = 0 (9 * 6 + k * 6) + -8(1 + -6k) = 0 (54 + 6k) + -8(1 + -6k) = 0 54 + 6k + (1 * -8 + -6k * -8) = 0 54 + 6k + (-8 + 48k) = 0 Reorder the terms: 54 + -8 + 6k + 48k = 0 Combine like terms: 54 + -8 = 46 46 + 6k + 48k = 0 Combine like terms: 6k + 48k = 54k 46 + 54k = 0 Solving 46 + 54k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 54k = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 54k = 0 + -46 54k = 0 + -46 Combine like terms: 0 + -46 = -46 54k = -46 Divide each side by '54'. k = -0.8518518519 Simplifying k = -0.8518518519
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