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Simplifying 8(8k + -1) + 8k = -8 + 5k Reorder the terms: 8(-1 + 8k) + 8k = -8 + 5k (-1 * 8 + 8k * 8) + 8k = -8 + 5k (-8 + 64k) + 8k = -8 + 5k Combine like terms: 64k + 8k = 72k -8 + 72k = -8 + 5k Add '8' to each side of the equation. -8 + 8 + 72k = -8 + 8 + 5k Combine like terms: -8 + 8 = 0 0 + 72k = -8 + 8 + 5k 72k = -8 + 8 + 5k Combine like terms: -8 + 8 = 0 72k = 0 + 5k 72k = 5k Solving 72k = 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 72k + -5k = 5k + -5k Combine like terms: 72k + -5k = 67k 67k = 5k + -5k Combine like terms: 5k + -5k = 0 67k = 0 Divide each side by '67'. k = 0 Simplifying k = 0
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