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Simplifying 43 = 5k + 1 Reorder the terms: 43 = 1 + 5k Solving 43 = 1 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 43 + -5k = 1 + 5k + -5k Combine like terms: 5k + -5k = 0 43 + -5k = 1 + 0 43 + -5k = 1 Add '-43' to each side of the equation. 43 + -43 + -5k = 1 + -43 Combine like terms: 43 + -43 = 0 0 + -5k = 1 + -43 -5k = 1 + -43 Combine like terms: 1 + -43 = -42 -5k = -42 Divide each side by '-5'. k = 8.4 Simplifying k = 8.4
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