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Simplifying 8 + 8k = -4k + 8(1 + 8k) 8 + 8k = -4k + (1 * 8 + 8k * 8) 8 + 8k = -4k + (8 + 64k) Reorder the terms: 8 + 8k = 8 + -4k + 64k Combine like terms: -4k + 64k = 60k 8 + 8k = 8 + 60k Add '-8' to each side of the equation. 8 + -8 + 8k = 8 + -8 + 60k Combine like terms: 8 + -8 = 0 0 + 8k = 8 + -8 + 60k 8k = 8 + -8 + 60k Combine like terms: 8 + -8 = 0 8k = 0 + 60k 8k = 60k Solving 8k = 60k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-60k' to each side of the equation. 8k + -60k = 60k + -60k Combine like terms: 8k + -60k = -52k -52k = 60k + -60k Combine like terms: 60k + -60k = 0 -52k = 0 Divide each side by '-52'. k = 0 Simplifying k = 0
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