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Simplifying 6(k + 9) + -1(-6k + -7) = 11k Reorder the terms: 6(9 + k) + -1(-6k + -7) = 11k (9 * 6 + k * 6) + -1(-6k + -7) = 11k (54 + 6k) + -1(-6k + -7) = 11k Reorder the terms: 54 + 6k + -1(-7 + -6k) = 11k 54 + 6k + (-7 * -1 + -6k * -1) = 11k 54 + 6k + (7 + 6k) = 11k Reorder the terms: 54 + 7 + 6k + 6k = 11k Combine like terms: 54 + 7 = 61 61 + 6k + 6k = 11k Combine like terms: 6k + 6k = 12k 61 + 12k = 11k Solving 61 + 12k = 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. 61 + 12k + -11k = 11k + -11k Combine like terms: 12k + -11k = 1k 61 + 1k = 11k + -11k Combine like terms: 11k + -11k = 0 61 + 1k = 0 Add '-61' to each side of the equation. 61 + -61 + 1k = 0 + -61 Combine like terms: 61 + -61 = 0 0 + 1k = 0 + -61 1k = 0 + -61 Combine like terms: 0 + -61 = -61 1k = -61 Divide each side by '1'. k = -61 Simplifying k = -61
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