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Simplifying 9k + 45 = 10k + -120 Reorder the terms: 45 + 9k = 10k + -120 Reorder the terms: 45 + 9k = -120 + 10k Solving 45 + 9k = -120 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 45 + 9k + -10k = -120 + 10k + -10k Combine like terms: 9k + -10k = -1k 45 + -1k = -120 + 10k + -10k Combine like terms: 10k + -10k = 0 45 + -1k = -120 + 0 45 + -1k = -120 Add '-45' to each side of the equation. 45 + -45 + -1k = -120 + -45 Combine like terms: 45 + -45 = 0 0 + -1k = -120 + -45 -1k = -120 + -45 Combine like terms: -120 + -45 = -165 -1k = -165 Divide each side by '-1'. k = 165 Simplifying k = 165
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