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Simplifying 4(k + 9) = -36 Reorder the terms: 4(9 + k) = -36 (9 * 4 + k * 4) = -36 (36 + 4k) = -36 Solving 36 + 4k = -36 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 4k = -36 + -36 Combine like terms: 36 + -36 = 0 0 + 4k = -36 + -36 4k = -36 + -36 Combine like terms: -36 + -36 = -72 4k = -72 Divide each side by '4'. k = -18 Simplifying k = -18
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