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Simplifying 3k + 46 = 1 + 8k Reorder the terms: 46 + 3k = 1 + 8k Solving 46 + 3k = 1 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 46 + 3k + -8k = 1 + 8k + -8k Combine like terms: 3k + -8k = -5k 46 + -5k = 1 + 8k + -8k Combine like terms: 8k + -8k = 0 46 + -5k = 1 + 0 46 + -5k = 1 Add '-46' to each side of the equation. 46 + -46 + -5k = 1 + -46 Combine like terms: 46 + -46 = 0 0 + -5k = 1 + -46 -5k = 1 + -46 Combine like terms: 1 + -46 = -45 -5k = -45 Divide each side by '-5'. k = 9 Simplifying k = 9
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