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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 = 81 9k = 81 Divide each side by '9'. k = 9 Simplifying k = 9
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