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Simplifying 204 = 3k + 8(8 + 4k) 204 = 3k + (8 * 8 + 4k * 8) 204 = 3k + (64 + 32k) Reorder the terms: 204 = 64 + 3k + 32k Combine like terms: 3k + 32k = 35k 204 = 64 + 35k Solving 204 = 64 + 35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35k' to each side of the equation. 204 + -35k = 64 + 35k + -35k Combine like terms: 35k + -35k = 0 204 + -35k = 64 + 0 204 + -35k = 64 Add '-204' to each side of the equation. 204 + -204 + -35k = 64 + -204 Combine like terms: 204 + -204 = 0 0 + -35k = 64 + -204 -35k = 64 + -204 Combine like terms: 64 + -204 = -140 -35k = -140 Divide each side by '-35'. k = 4 Simplifying k = 4
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