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Simplifying 9(11 + -1k) = 3(3 + -9) (11 * 9 + -1k * 9) = 3(3 + -9) (99 + -9k) = 3(3 + -9) Combine like terms: 3 + -9 = -6 99 + -9k = 3(-6) Multiply 3 * -6 99 + -9k = -18 Solving 99 + -9k = -18 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + -99 + -9k = -18 + -99 Combine like terms: 99 + -99 = 0 0 + -9k = -18 + -99 -9k = -18 + -99 Combine like terms: -18 + -99 = -117 -9k = -117 Divide each side by '-9'. k = 13 Simplifying k = 13
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