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Simplifying 9(11 + -1k) = 4(3k + -9) (11 * 9 + -1k * 9) = 4(3k + -9) (99 + -9k) = 4(3k + -9) Reorder the terms: 99 + -9k = 4(-9 + 3k) 99 + -9k = (-9 * 4 + 3k * 4) 99 + -9k = (-36 + 12k) Solving 99 + -9k = -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. 99 + -9k + -12k = -36 + 12k + -12k Combine like terms: -9k + -12k = -21k 99 + -21k = -36 + 12k + -12k Combine like terms: 12k + -12k = 0 99 + -21k = -36 + 0 99 + -21k = -36 Add '-99' to each side of the equation. 99 + -99 + -21k = -36 + -99 Combine like terms: 99 + -99 = 0 0 + -21k = -36 + -99 -21k = -36 + -99 Combine like terms: -36 + -99 = -135 -21k = -135 Divide each side by '-21'. k = 6.428571429 Simplifying k = 6.428571429
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