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Simplifying 3k + 220 = 12k + 40 Reorder the terms: 220 + 3k = 12k + 40 Reorder the terms: 220 + 3k = 40 + 12k Solving 220 + 3k = 40 + 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. 220 + 3k + -12k = 40 + 12k + -12k Combine like terms: 3k + -12k = -9k 220 + -9k = 40 + 12k + -12k Combine like terms: 12k + -12k = 0 220 + -9k = 40 + 0 220 + -9k = 40 Add '-220' to each side of the equation. 220 + -220 + -9k = 40 + -220 Combine like terms: 220 + -220 = 0 0 + -9k = 40 + -220 -9k = 40 + -220 Combine like terms: 40 + -220 = -180 -9k = -180 Divide each side by '-9'. k = 20 Simplifying k = 20
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