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Simplifying 165 = 5(6k + 3) Reorder the terms: 165 = 5(3 + 6k) 165 = (3 * 5 + 6k * 5) 165 = (15 + 30k) Solving 165 = 15 + 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. 165 + -30k = 15 + 30k + -30k Combine like terms: 30k + -30k = 0 165 + -30k = 15 + 0 165 + -30k = 15 Add '-165' to each side of the equation. 165 + -165 + -30k = 15 + -165 Combine like terms: 165 + -165 = 0 0 + -30k = 15 + -165 -30k = 15 + -165 Combine like terms: 15 + -165 = -150 -30k = -150 Divide each side by '-30'. k = 5 Simplifying k = 5
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