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Simplifying 186 = 6(5k + 6) Reorder the terms: 186 = 6(6 + 5k) 186 = (6 * 6 + 5k * 6) 186 = (36 + 30k) Solving 186 = 36 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. 186 + -30k = 36 + 30k + -30k Combine like terms: 30k + -30k = 0 186 + -30k = 36 + 0 186 + -30k = 36 Add '-186' to each side of the equation. 186 + -186 + -30k = 36 + -186 Combine like terms: 186 + -186 = 0 0 + -30k = 36 + -186 -30k = 36 + -186 Combine like terms: 36 + -186 = -150 -30k = -150 Divide each side by '-30'. k = 5 Simplifying k = 5
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