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Simplifying 15k + 1100 = 12k + 200 Reorder the terms: 1100 + 15k = 12k + 200 Reorder the terms: 1100 + 15k = 200 + 12k Solving 1100 + 15k = 200 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 1100 + 15k + -12k = 200 + 12k + -12k Combine like terms: 15k + -12k = 3k 1100 + 3k = 200 + 12k + -12k Combine like terms: 12k + -12k = 0 1100 + 3k = 200 + 0 1100 + 3k = 200 Add '-1100' to each side of the equation. 1100 + -1100 + 3k = 200 + -1100 Combine like terms: 1100 + -1100 = 0 0 + 3k = 200 + -1100 3k = 200 + -1100 Combine like terms: 200 + -1100 = -900 3k = -900 Divide each side by '3'. k = -300 Simplifying k = -300
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