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Simplifying 8(1 + 5k) + 5 = 13 + k (1 * 8 + 5k * 8) + 5 = 13 + k (8 + 40k) + 5 = 13 + k Reorder the terms: 8 + 5 + 40k = 13 + k Combine like terms: 8 + 5 = 13 13 + 40k = 13 + k Add '-13' to each side of the equation. 13 + -13 + 40k = 13 + -13 + k Combine like terms: 13 + -13 = 0 0 + 40k = 13 + -13 + k 40k = 13 + -13 + k Combine like terms: 13 + -13 = 0 40k = 0 + k 40k = k Solving 40k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 40k + -1k = k + -1k Combine like terms: 40k + -1k = 39k 39k = k + -1k Combine like terms: k + -1k = 0 39k = 0 Divide each side by '39'. k = 0 Simplifying k = 0
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