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Simplifying 6(5k + 6) + 5k = -4k + -3 Reorder the terms: 6(6 + 5k) + 5k = -4k + -3 (6 * 6 + 5k * 6) + 5k = -4k + -3 (36 + 30k) + 5k = -4k + -3 Combine like terms: 30k + 5k = 35k 36 + 35k = -4k + -3 Reorder the terms: 36 + 35k = -3 + -4k Solving 36 + 35k = -3 + -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. 36 + 35k + 4k = -3 + -4k + 4k Combine like terms: 35k + 4k = 39k 36 + 39k = -3 + -4k + 4k Combine like terms: -4k + 4k = 0 36 + 39k = -3 + 0 36 + 39k = -3 Add '-36' to each side of the equation. 36 + -36 + 39k = -3 + -36 Combine like terms: 36 + -36 = 0 0 + 39k = -3 + -36 39k = -3 + -36 Combine like terms: -3 + -36 = -39 39k = -39 Divide each side by '39'. k = -1 Simplifying k = -1
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