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Simplifying 5407 = 9k + 7 Reorder the terms: 5407 = 7 + 9k Solving 5407 = 7 + 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. 5407 + -9k = 7 + 9k + -9k Combine like terms: 9k + -9k = 0 5407 + -9k = 7 + 0 5407 + -9k = 7 Add '-5407' to each side of the equation. 5407 + -5407 + -9k = 7 + -5407 Combine like terms: 5407 + -5407 = 0 0 + -9k = 7 + -5407 -9k = 7 + -5407 Combine like terms: 7 + -5407 = -5400 -9k = -5400 Divide each side by '-9'. k = 600 Simplifying k = 600
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