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Simplifying 46 = 6 + 8k Solving 46 = 6 + 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 + -8k = 6 + 8k + -8k Combine like terms: 8k + -8k = 0 46 + -8k = 6 + 0 46 + -8k = 6 Add '-46' to each side of the equation. 46 + -46 + -8k = 6 + -46 Combine like terms: 46 + -46 = 0 0 + -8k = 6 + -46 -8k = 6 + -46 Combine like terms: 6 + -46 = -40 -8k = -40 Divide each side by '-8'. k = 5 Simplifying k = 5
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