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Simplifying -4(9k + 9) = 36 + -12k Reorder the terms: -4(9 + 9k) = 36 + -12k (9 * -4 + 9k * -4) = 36 + -12k (-36 + -36k) = 36 + -12k Solving -36 + -36k = 36 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -36 + -36k + 12k = 36 + -12k + 12k Combine like terms: -36k + 12k = -24k -36 + -24k = 36 + -12k + 12k Combine like terms: -12k + 12k = 0 -36 + -24k = 36 + 0 -36 + -24k = 36 Add '36' to each side of the equation. -36 + 36 + -24k = 36 + 36 Combine like terms: -36 + 36 = 0 0 + -24k = 36 + 36 -24k = 36 + 36 Combine like terms: 36 + 36 = 72 -24k = 72 Divide each side by '-24'. k = -3 Simplifying k = -3
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