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Simplifying 8 + 4(k + 8) = 40 + -1k Reorder the terms: 8 + 4(8 + k) = 40 + -1k 8 + (8 * 4 + k * 4) = 40 + -1k 8 + (32 + 4k) = 40 + -1k Combine like terms: 8 + 32 = 40 40 + 4k = 40 + -1k Add '-40' to each side of the equation. 40 + -40 + 4k = 40 + -40 + -1k Combine like terms: 40 + -40 = 0 0 + 4k = 40 + -40 + -1k 4k = 40 + -40 + -1k Combine like terms: 40 + -40 = 0 4k = 0 + -1k 4k = -1k Solving 4k = -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 4k + k = -1k + k Combine like terms: 4k + k = 5k 5k = -1k + k Combine like terms: -1k + k = 0 5k = 0 Divide each side by '5'. k = 0 Simplifying k = 0
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