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Simplifying 6(2 + -1k) + 11 = -11(k + -4) + -8 (2 * 6 + -1k * 6) + 11 = -11(k + -4) + -8 (12 + -6k) + 11 = -11(k + -4) + -8 Reorder the terms: 12 + 11 + -6k = -11(k + -4) + -8 Combine like terms: 12 + 11 = 23 23 + -6k = -11(k + -4) + -8 Reorder the terms: 23 + -6k = -11(-4 + k) + -8 23 + -6k = (-4 * -11 + k * -11) + -8 23 + -6k = (44 + -11k) + -8 Reorder the terms: 23 + -6k = 44 + -8 + -11k Combine like terms: 44 + -8 = 36 23 + -6k = 36 + -11k Solving 23 + -6k = 36 + -11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11k' to each side of the equation. 23 + -6k + 11k = 36 + -11k + 11k Combine like terms: -6k + 11k = 5k 23 + 5k = 36 + -11k + 11k Combine like terms: -11k + 11k = 0 23 + 5k = 36 + 0 23 + 5k = 36 Add '-23' to each side of the equation. 23 + -23 + 5k = 36 + -23 Combine like terms: 23 + -23 = 0 0 + 5k = 36 + -23 5k = 36 + -23 Combine like terms: 36 + -23 = 13 5k = 13 Divide each side by '5'. k = 2.6 Simplifying k = 2.6
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