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Simplifying 75 = 3(3k + 4) Reorder the terms: 75 = 3(4 + 3k) 75 = (4 * 3 + 3k * 3) 75 = (12 + 9k) Solving 75 = 12 + 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. 75 + -9k = 12 + 9k + -9k Combine like terms: 9k + -9k = 0 75 + -9k = 12 + 0 75 + -9k = 12 Add '-75' to each side of the equation. 75 + -75 + -9k = 12 + -75 Combine like terms: 75 + -75 = 0 0 + -9k = 12 + -75 -9k = 12 + -75 Combine like terms: 12 + -75 = -63 -9k = -63 Divide each side by '-9'. k = 7 Simplifying k = 7
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