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Simplifying 9(11 + -1k) = 9(x + -5) (11 * 9 + -1k * 9) = 9(x + -5) (99 + -9k) = 9(x + -5) Reorder the terms: 99 + -9k = 9(-5 + x) 99 + -9k = (-5 * 9 + x * 9) 99 + -9k = (-45 + 9x) Solving 99 + -9k = -45 + 9x 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 = -45 + -99 + 9x Combine like terms: 99 + -99 = 0 0 + -9k = -45 + -99 + 9x -9k = -45 + -99 + 9x Combine like terms: -45 + -99 = -144 -9k = -144 + 9x Divide each side by '-9'. k = 16 + -1x Simplifying k = 16 + -1x
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