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Simplifying 6(k + 4) + -1(5k + -5) = -1 Reorder the terms: 6(4 + k) + -1(5k + -5) = -1 (4 * 6 + k * 6) + -1(5k + -5) = -1 (24 + 6k) + -1(5k + -5) = -1 Reorder the terms: 24 + 6k + -1(-5 + 5k) = -1 24 + 6k + (-5 * -1 + 5k * -1) = -1 24 + 6k + (5 + -5k) = -1 Reorder the terms: 24 + 5 + 6k + -5k = -1 Combine like terms: 24 + 5 = 29 29 + 6k + -5k = -1 Combine like terms: 6k + -5k = 1k 29 + 1k = -1 Solving 29 + 1k = -1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 1k = -1 + -29 Combine like terms: 29 + -29 = 0 0 + 1k = -1 + -29 1k = -1 + -29 Combine like terms: -1 + -29 = -30 1k = -30 Divide each side by '1'. k = -30 Simplifying k = -30
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