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Simplifying 9(11 + -1k) = 3(16 + -3d) (11 * 9 + -1k * 9) = 3(16 + -3d) (99 + -9k) = 3(16 + -3d) 99 + -9k = (16 * 3 + -3d * 3) 99 + -9k = (48 + -9d) Solving 99 + -9k = 48 + -9d 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 = 48 + -99 + -9d Combine like terms: 99 + -99 = 0 0 + -9k = 48 + -99 + -9d -9k = 48 + -99 + -9d Combine like terms: 48 + -99 = -51 -9k = -51 + -9d Divide each side by '-9'. k = 5.666666667 + d Simplifying k = 5.666666667 + d
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