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Simplifying k + (4k + 32) = 72 Reorder the terms: k + (32 + 4k) = 72 Remove parenthesis around (32 + 4k) k + 32 + 4k = 72 Reorder the terms: 32 + k + 4k = 72 Combine like terms: k + 4k = 5k 32 + 5k = 72 Solving 32 + 5k = 72 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 5k = 72 + -32 Combine like terms: 32 + -32 = 0 0 + 5k = 72 + -32 5k = 72 + -32 Combine like terms: 72 + -32 = 40 5k = 40 Divide each side by '5'. k = 8 Simplifying k = 8
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