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Simplifying 32 = 5k + 13k Combine like terms: 5k + 13k = 18k 32 = 18k Solving 32 = 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 32 + -18k = 18k + -18k Combine like terms: 18k + -18k = 0 32 + -18k = 0 Add '-32' to each side of the equation. 32 + -32 + -18k = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -18k = 0 + -32 -18k = 0 + -32 Combine like terms: 0 + -32 = -32 -18k = -32 Divide each side by '-18'. k = 1.777777778 Simplifying k = 1.777777778
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