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Simplifying 9k + 18 = 3(16k + -20) Reorder the terms: 18 + 9k = 3(16k + -20) Reorder the terms: 18 + 9k = 3(-20 + 16k) 18 + 9k = (-20 * 3 + 16k * 3) 18 + 9k = (-60 + 48k) Solving 18 + 9k = -60 + 48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48k' to each side of the equation. 18 + 9k + -48k = -60 + 48k + -48k Combine like terms: 9k + -48k = -39k 18 + -39k = -60 + 48k + -48k Combine like terms: 48k + -48k = 0 18 + -39k = -60 + 0 18 + -39k = -60 Add '-18' to each side of the equation. 18 + -18 + -39k = -60 + -18 Combine like terms: 18 + -18 = 0 0 + -39k = -60 + -18 -39k = -60 + -18 Combine like terms: -60 + -18 = -78 -39k = -78 Divide each side by '-39'. k = 2 Simplifying k = 2
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