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Simplifying 6(k + 6) + -1(5k + 4) = 6 Reorder the terms: 6(6 + k) + -1(5k + 4) = 6 (6 * 6 + k * 6) + -1(5k + 4) = 6 (36 + 6k) + -1(5k + 4) = 6 Reorder the terms: 36 + 6k + -1(4 + 5k) = 6 36 + 6k + (4 * -1 + 5k * -1) = 6 36 + 6k + (-4 + -5k) = 6 Reorder the terms: 36 + -4 + 6k + -5k = 6 Combine like terms: 36 + -4 = 32 32 + 6k + -5k = 6 Combine like terms: 6k + -5k = 1k 32 + 1k = 6 Solving 32 + 1k = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 1k = 6 + -32 Combine like terms: 32 + -32 = 0 0 + 1k = 6 + -32 1k = 6 + -32 Combine like terms: 6 + -32 = -26 1k = -26 Divide each side by '1'. k = -26 Simplifying k = -26
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