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Simplifying 4 = 8k + 1 Reorder the terms: 4 = 1 + 8k Solving 4 = 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. 4 + -8k = 1 + 8k + -8k Combine like terms: 8k + -8k = 0 4 + -8k = 1 + 0 4 + -8k = 1 Add '-4' to each side of the equation. 4 + -4 + -8k = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -8k = 1 + -4 -8k = 1 + -4 Combine like terms: 1 + -4 = -3 -8k = -3 Divide each side by '-8'. k = 0.375 Simplifying k = 0.375
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