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Simplifying -4k + 24 = 9k + 102 Reorder the terms: 24 + -4k = 9k + 102 Reorder the terms: 24 + -4k = 102 + 9k Solving 24 + -4k = 102 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 24 + -4k + -9k = 102 + 9k + -9k Combine like terms: -4k + -9k = -13k 24 + -13k = 102 + 9k + -9k Combine like terms: 9k + -9k = 0 24 + -13k = 102 + 0 24 + -13k = 102 Add '-24' to each side of the equation. 24 + -24 + -13k = 102 + -24 Combine like terms: 24 + -24 = 0 0 + -13k = 102 + -24 -13k = 102 + -24 Combine like terms: 102 + -24 = 78 -13k = 78 Divide each side by '-13'. k = -6 Simplifying k = -6
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