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Simplifying 30 + 3k = 54 + -45k Solving 30 + 3k = 54 + -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 + 3k + 45k = 54 + -45k + 45k Combine like terms: 3k + 45k = 48k 30 + 48k = 54 + -45k + 45k Combine like terms: -45k + 45k = 0 30 + 48k = 54 + 0 30 + 48k = 54 Add '-30' to each side of the equation. 30 + -30 + 48k = 54 + -30 Combine like terms: 30 + -30 = 0 0 + 48k = 54 + -30 48k = 54 + -30 Combine like terms: 54 + -30 = 24 48k = 24 Divide each side by '48'. k = 0.5 Simplifying k = 0.5
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