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Simplifying 9(4k + 6) = -21 Reorder the terms: 9(6 + 4k) = -21 (6 * 9 + 4k * 9) = -21 (54 + 36k) = -21 Solving 54 + 36k = -21 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 36k = -21 + -54 Combine like terms: 54 + -54 = 0 0 + 36k = -21 + -54 36k = -21 + -54 Combine like terms: -21 + -54 = -75 36k = -75 Divide each side by '36'. k = -2.083333333 Simplifying k = -2.083333333
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