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Simplifying 40k + -35 = 3 + -5k Reorder the terms: -35 + 40k = 3 + -5k Solving -35 + 40k = 3 + -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. -35 + 40k + 5k = 3 + -5k + 5k Combine like terms: 40k + 5k = 45k -35 + 45k = 3 + -5k + 5k Combine like terms: -5k + 5k = 0 -35 + 45k = 3 + 0 -35 + 45k = 3 Add '35' to each side of the equation. -35 + 35 + 45k = 3 + 35 Combine like terms: -35 + 35 = 0 0 + 45k = 3 + 35 45k = 3 + 35 Combine like terms: 3 + 35 = 38 45k = 38 Divide each side by '45'. k = 0.8444444444 Simplifying k = 0.8444444444
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