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Simplifying 4(1 + 2k) = 4k + 36 (1 * 4 + 2k * 4) = 4k + 36 (4 + 8k) = 4k + 36 Reorder the terms: 4 + 8k = 36 + 4k Solving 4 + 8k = 36 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 4 + 8k + -4k = 36 + 4k + -4k Combine like terms: 8k + -4k = 4k 4 + 4k = 36 + 4k + -4k Combine like terms: 4k + -4k = 0 4 + 4k = 36 + 0 4 + 4k = 36 Add '-4' to each side of the equation. 4 + -4 + 4k = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 4k = 36 + -4 4k = 36 + -4 Combine like terms: 36 + -4 = 32 4k = 32 Divide each side by '4'. k = 8 Simplifying k = 8
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