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Simplifying 89(k + 3) = 12k + -4 Reorder the terms: 89(3 + k) = 12k + -4 (3 * 89 + k * 89) = 12k + -4 (267 + 89k) = 12k + -4 Reorder the terms: 267 + 89k = -4 + 12k Solving 267 + 89k = -4 + 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. 267 + 89k + -12k = -4 + 12k + -12k Combine like terms: 89k + -12k = 77k 267 + 77k = -4 + 12k + -12k Combine like terms: 12k + -12k = 0 267 + 77k = -4 + 0 267 + 77k = -4 Add '-267' to each side of the equation. 267 + -267 + 77k = -4 + -267 Combine like terms: 267 + -267 = 0 0 + 77k = -4 + -267 77k = -4 + -267 Combine like terms: -4 + -267 = -271 77k = -271 Divide each side by '77'. k = -3.519480519 Simplifying k = -3.519480519
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