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Simplifying 5k + 7 = 9k + -25 Reorder the terms: 7 + 5k = 9k + -25 Reorder the terms: 7 + 5k = -25 + 9k Solving 7 + 5k = -25 + 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. 7 + 5k + -9k = -25 + 9k + -9k Combine like terms: 5k + -9k = -4k 7 + -4k = -25 + 9k + -9k Combine like terms: 9k + -9k = 0 7 + -4k = -25 + 0 7 + -4k = -25 Add '-7' to each side of the equation. 7 + -7 + -4k = -25 + -7 Combine like terms: 7 + -7 = 0 0 + -4k = -25 + -7 -4k = -25 + -7 Combine like terms: -25 + -7 = -32 -4k = -32 Divide each side by '-4'. k = 8 Simplifying k = 8
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