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Simplifying 4(k + 18) = 2(4k + 18) Reorder the terms: 4(18 + k) = 2(4k + 18) (18 * 4 + k * 4) = 2(4k + 18) (72 + 4k) = 2(4k + 18) Reorder the terms: 72 + 4k = 2(18 + 4k) 72 + 4k = (18 * 2 + 4k * 2) 72 + 4k = (36 + 8k) Solving 72 + 4k = 36 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 72 + 4k + -8k = 36 + 8k + -8k Combine like terms: 4k + -8k = -4k 72 + -4k = 36 + 8k + -8k Combine like terms: 8k + -8k = 0 72 + -4k = 36 + 0 72 + -4k = 36 Add '-72' to each side of the equation. 72 + -72 + -4k = 36 + -72 Combine like terms: 72 + -72 = 0 0 + -4k = 36 + -72 -4k = 36 + -72 Combine like terms: 36 + -72 = -36 -4k = -36 Divide each side by '-4'. k = 9 Simplifying k = 9
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