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Simplifying 3(13 + 5.5k) = 6k + 18 (13 * 3 + 5.5k * 3) = 6k + 18 (39 + 16.5k) = 6k + 18 Reorder the terms: 39 + 16.5k = 18 + 6k Solving 39 + 16.5k = 18 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 39 + 16.5k + -6k = 18 + 6k + -6k Combine like terms: 16.5k + -6k = 10.5k 39 + 10.5k = 18 + 6k + -6k Combine like terms: 6k + -6k = 0 39 + 10.5k = 18 + 0 39 + 10.5k = 18 Add '-39' to each side of the equation. 39 + -39 + 10.5k = 18 + -39 Combine like terms: 39 + -39 = 0 0 + 10.5k = 18 + -39 10.5k = 18 + -39 Combine like terms: 18 + -39 = -21 10.5k = -21 Divide each side by '10.5'. k = -2 Simplifying k = -2
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