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Simplifying -9k + 9 + -12k = 4k + -13 + -5k Reorder the terms: 9 + -9k + -12k = 4k + -13 + -5k Combine like terms: -9k + -12k = -21k 9 + -21k = 4k + -13 + -5k Reorder the terms: 9 + -21k = -13 + 4k + -5k Combine like terms: 4k + -5k = -1k 9 + -21k = -13 + -1k Solving 9 + -21k = -13 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 9 + -21k + k = -13 + -1k + k Combine like terms: -21k + k = -20k 9 + -20k = -13 + -1k + k Combine like terms: -1k + k = 0 9 + -20k = -13 + 0 9 + -20k = -13 Add '-9' to each side of the equation. 9 + -9 + -20k = -13 + -9 Combine like terms: 9 + -9 = 0 0 + -20k = -13 + -9 -20k = -13 + -9 Combine like terms: -13 + -9 = -22 -20k = -22 Divide each side by '-20'. k = 1.1 Simplifying k = 1.1
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