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Simplifying 75 = 5(k + 3) Reorder the terms: 75 = 5(3 + k) 75 = (3 * 5 + k * 5) 75 = (15 + 5k) Solving 75 = 15 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 75 + -5k = 15 + 5k + -5k Combine like terms: 5k + -5k = 0 75 + -5k = 15 + 0 75 + -5k = 15 Add '-75' to each side of the equation. 75 + -75 + -5k = 15 + -75 Combine like terms: 75 + -75 = 0 0 + -5k = 15 + -75 -5k = 15 + -75 Combine like terms: 15 + -75 = -60 -5k = -60 Divide each side by '-5'. k = 12 Simplifying k = 12
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