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Simplifying 5k + 3 = 45 + -1k Reorder the terms: 3 + 5k = 45 + -1k Solving 3 + 5k = 45 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 3 + 5k + k = 45 + -1k + k Combine like terms: 5k + k = 6k 3 + 6k = 45 + -1k + k Combine like terms: -1k + k = 0 3 + 6k = 45 + 0 3 + 6k = 45 Add '-3' to each side of the equation. 3 + -3 + 6k = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 6k = 45 + -3 6k = 45 + -3 Combine like terms: 45 + -3 = 42 6k = 42 Divide each side by '6'. k = 7 Simplifying k = 7
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