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Simplifying 4k + 38 = 9k + 8 Reorder the terms: 38 + 4k = 9k + 8 Reorder the terms: 38 + 4k = 8 + 9k Solving 38 + 4k = 8 + 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. 38 + 4k + -9k = 8 + 9k + -9k Combine like terms: 4k + -9k = -5k 38 + -5k = 8 + 9k + -9k Combine like terms: 9k + -9k = 0 38 + -5k = 8 + 0 38 + -5k = 8 Add '-38' to each side of the equation. 38 + -38 + -5k = 8 + -38 Combine like terms: 38 + -38 = 0 0 + -5k = 8 + -38 -5k = 8 + -38 Combine like terms: 8 + -38 = -30 -5k = -30 Divide each side by '-5'. k = 6 Simplifying k = 6
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