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Simplifying 10 = 9k + -40 Reorder the terms: 10 = -40 + 9k Solving 10 = -40 + 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. 10 + -9k = -40 + 9k + -9k Combine like terms: 9k + -9k = 0 10 + -9k = -40 + 0 10 + -9k = -40 Add '-10' to each side of the equation. 10 + -10 + -9k = -40 + -10 Combine like terms: 10 + -10 = 0 0 + -9k = -40 + -10 -9k = -40 + -10 Combine like terms: -40 + -10 = -50 -9k = -50 Divide each side by '-9'. k = 5.555555556 Simplifying k = 5.555555556
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