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Simplifying 3(5k + 10) = 45k Reorder the terms: 3(10 + 5k) = 45k (10 * 3 + 5k * 3) = 45k (30 + 15k) = 45k Solving 30 + 15k = 45k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-45k' to each side of the equation. 30 + 15k + -45k = 45k + -45k Combine like terms: 15k + -45k = -30k 30 + -30k = 45k + -45k Combine like terms: 45k + -45k = 0 30 + -30k = 0 Add '-30' to each side of the equation. 30 + -30 + -30k = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -30k = 0 + -30 -30k = 0 + -30 Combine like terms: 0 + -30 = -30 -30k = -30 Divide each side by '-30'. k = 1 Simplifying k = 1
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