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Simplifying 5k + 32 = 9k + 4 Reorder the terms: 32 + 5k = 9k + 4 Reorder the terms: 32 + 5k = 4 + 9k Solving 32 + 5k = 4 + 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. 32 + 5k + -9k = 4 + 9k + -9k Combine like terms: 5k + -9k = -4k 32 + -4k = 4 + 9k + -9k Combine like terms: 9k + -9k = 0 32 + -4k = 4 + 0 32 + -4k = 4 Add '-32' to each side of the equation. 32 + -32 + -4k = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -4k = 4 + -32 -4k = 4 + -32 Combine like terms: 4 + -32 = -28 -4k = -28 Divide each side by '-4'. k = 7 Simplifying k = 7
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