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Simplifying 5(8 + 7k) + 8k = -38 + 4k (8 * 5 + 7k * 5) + 8k = -38 + 4k (40 + 35k) + 8k = -38 + 4k Combine like terms: 35k + 8k = 43k 40 + 43k = -38 + 4k Solving 40 + 43k = -38 + 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. 40 + 43k + -4k = -38 + 4k + -4k Combine like terms: 43k + -4k = 39k 40 + 39k = -38 + 4k + -4k Combine like terms: 4k + -4k = 0 40 + 39k = -38 + 0 40 + 39k = -38 Add '-40' to each side of the equation. 40 + -40 + 39k = -38 + -40 Combine like terms: 40 + -40 = 0 0 + 39k = -38 + -40 39k = -38 + -40 Combine like terms: -38 + -40 = -78 39k = -78 Divide each side by '39'. k = -2 Simplifying k = -2
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