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Simplifying 12k + -100 = 4k + 100 Reorder the terms: -100 + 12k = 4k + 100 Reorder the terms: -100 + 12k = 100 + 4k Solving -100 + 12k = 100 + 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. -100 + 12k + -4k = 100 + 4k + -4k Combine like terms: 12k + -4k = 8k -100 + 8k = 100 + 4k + -4k Combine like terms: 4k + -4k = 0 -100 + 8k = 100 + 0 -100 + 8k = 100 Add '100' to each side of the equation. -100 + 100 + 8k = 100 + 100 Combine like terms: -100 + 100 = 0 0 + 8k = 100 + 100 8k = 100 + 100 Combine like terms: 100 + 100 = 200 8k = 200 Divide each side by '8'. k = 25 Simplifying k = 25
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