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Simplifying 8 + -11(k + -8) = 30 + -5k Reorder the terms: 8 + -11(-8 + k) = 30 + -5k 8 + (-8 * -11 + k * -11) = 30 + -5k 8 + (88 + -11k) = 30 + -5k Combine like terms: 8 + 88 = 96 96 + -11k = 30 + -5k Solving 96 + -11k = 30 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 96 + -11k + 5k = 30 + -5k + 5k Combine like terms: -11k + 5k = -6k 96 + -6k = 30 + -5k + 5k Combine like terms: -5k + 5k = 0 96 + -6k = 30 + 0 96 + -6k = 30 Add '-96' to each side of the equation. 96 + -96 + -6k = 30 + -96 Combine like terms: 96 + -96 = 0 0 + -6k = 30 + -96 -6k = 30 + -96 Combine like terms: 30 + -96 = -66 -6k = -66 Divide each side by '-6'. k = 11 Simplifying k = 11
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