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Simplifying 12k + 4 = 8k + 40 Reorder the terms: 4 + 12k = 8k + 40 Reorder the terms: 4 + 12k = 40 + 8k Solving 4 + 12k = 40 + 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. 4 + 12k + -8k = 40 + 8k + -8k Combine like terms: 12k + -8k = 4k 4 + 4k = 40 + 8k + -8k Combine like terms: 8k + -8k = 0 4 + 4k = 40 + 0 4 + 4k = 40 Add '-4' to each side of the equation. 4 + -4 + 4k = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 4k = 40 + -4 4k = 40 + -4 Combine like terms: 40 + -4 = 36 4k = 36 Divide each side by '4'. k = 9 Simplifying k = 9
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