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Simplifying 4k + 8 + -9k + 1 = 12k Reorder the terms: 8 + 1 + 4k + -9k = 12k Combine like terms: 8 + 1 = 9 9 + 4k + -9k = 12k Combine like terms: 4k + -9k = -5k 9 + -5k = 12k Solving 9 + -5k = 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. 9 + -5k + -12k = 12k + -12k Combine like terms: -5k + -12k = -17k 9 + -17k = 12k + -12k Combine like terms: 12k + -12k = 0 9 + -17k = 0 Add '-9' to each side of the equation. 9 + -9 + -17k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -17k = 0 + -9 -17k = 0 + -9 Combine like terms: 0 + -9 = -9 -17k = -9 Divide each side by '-17'. k = 0.5294117647 Simplifying k = 0.5294117647
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