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Simplifying -6(k + 2) + -11(k + -8) = -111 Reorder the terms: -6(2 + k) + -11(k + -8) = -111 (2 * -6 + k * -6) + -11(k + -8) = -111 (-12 + -6k) + -11(k + -8) = -111 Reorder the terms: -12 + -6k + -11(-8 + k) = -111 -12 + -6k + (-8 * -11 + k * -11) = -111 -12 + -6k + (88 + -11k) = -111 Reorder the terms: -12 + 88 + -6k + -11k = -111 Combine like terms: -12 + 88 = 76 76 + -6k + -11k = -111 Combine like terms: -6k + -11k = -17k 76 + -17k = -111 Solving 76 + -17k = -111 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + -17k = -111 + -76 Combine like terms: 76 + -76 = 0 0 + -17k = -111 + -76 -17k = -111 + -76 Combine like terms: -111 + -76 = -187 -17k = -187 Divide each side by '-17'. k = 11 Simplifying k = 11
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