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Simplifying 6(k + 5) + -1(9k + -1) = -4k Reorder the terms: 6(5 + k) + -1(9k + -1) = -4k (5 * 6 + k * 6) + -1(9k + -1) = -4k (30 + 6k) + -1(9k + -1) = -4k Reorder the terms: 30 + 6k + -1(-1 + 9k) = -4k 30 + 6k + (-1 * -1 + 9k * -1) = -4k 30 + 6k + (1 + -9k) = -4k Reorder the terms: 30 + 1 + 6k + -9k = -4k Combine like terms: 30 + 1 = 31 31 + 6k + -9k = -4k Combine like terms: 6k + -9k = -3k 31 + -3k = -4k Solving 31 + -3k = -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 31 + -3k + 4k = -4k + 4k Combine like terms: -3k + 4k = 1k 31 + 1k = -4k + 4k Combine like terms: -4k + 4k = 0 31 + 1k = 0 Add '-31' to each side of the equation. 31 + -31 + 1k = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 1k = 0 + -31 1k = 0 + -31 Combine like terms: 0 + -31 = -31 1k = -31 Divide each side by '1'. k = -31 Simplifying k = -31
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