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Simplifying 11(k + -9) = 2(k + 4) Reorder the terms: 11(-9 + k) = 2(k + 4) (-9 * 11 + k * 11) = 2(k + 4) (-99 + 11k) = 2(k + 4) Reorder the terms: -99 + 11k = 2(4 + k) -99 + 11k = (4 * 2 + k * 2) -99 + 11k = (8 + 2k) Solving -99 + 11k = 8 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -99 + 11k + -2k = 8 + 2k + -2k Combine like terms: 11k + -2k = 9k -99 + 9k = 8 + 2k + -2k Combine like terms: 2k + -2k = 0 -99 + 9k = 8 + 0 -99 + 9k = 8 Add '99' to each side of the equation. -99 + 99 + 9k = 8 + 99 Combine like terms: -99 + 99 = 0 0 + 9k = 8 + 99 9k = 8 + 99 Combine like terms: 8 + 99 = 107 9k = 107 Divide each side by '9'. k = 11.88888889 Simplifying k = 11.88888889
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