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Simplifying 4 + -1(9k + 9) = 36 + -12k Reorder the terms: 4 + -1(9 + 9k) = 36 + -12k 4 + (9 * -1 + 9k * -1) = 36 + -12k 4 + (-9 + -9k) = 36 + -12k Combine like terms: 4 + -9 = -5 -5 + -9k = 36 + -12k Solving -5 + -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. -5 + -9k + 12k = 36 + -12k + 12k Combine like terms: -9k + 12k = 3k -5 + 3k = 36 + -12k + 12k Combine like terms: -12k + 12k = 0 -5 + 3k = 36 + 0 -5 + 3k = 36 Add '5' to each side of the equation. -5 + 5 + 3k = 36 + 5 Combine like terms: -5 + 5 = 0 0 + 3k = 36 + 5 3k = 36 + 5 Combine like terms: 36 + 5 = 41 3k = 41 Divide each side by '3'. k = 13.66666667 Simplifying k = 13.66666667
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