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Simplifying 8(k + 1) = 8(1 + 10k) Reorder the terms: 8(1 + k) = 8(1 + 10k) (1 * 8 + k * 8) = 8(1 + 10k) (8 + 8k) = 8(1 + 10k) 8 + 8k = (1 * 8 + 10k * 8) 8 + 8k = (8 + 80k) Add '-8' to each side of the equation. 8 + -8 + 8k = 8 + -8 + 80k Combine like terms: 8 + -8 = 0 0 + 8k = 8 + -8 + 80k 8k = 8 + -8 + 80k Combine like terms: 8 + -8 = 0 8k = 0 + 80k 8k = 80k Solving 8k = 80k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-80k' to each side of the equation. 8k + -80k = 80k + -80k Combine like terms: 8k + -80k = -72k -72k = 80k + -80k Combine like terms: 80k + -80k = 0 -72k = 0 Divide each side by '-72'. k = 0 Simplifying k = 0
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