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Simplifying k + 5 = 40 + -4k Reorder the terms: 5 + k = 40 + -4k Solving 5 + k = 40 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 5 + k + 4k = 40 + -4k + 4k Combine like terms: k + 4k = 5k 5 + 5k = 40 + -4k + 4k Combine like terms: -4k + 4k = 0 5 + 5k = 40 + 0 5 + 5k = 40 Add '-5' to each side of the equation. 5 + -5 + 5k = 40 + -5 Combine like terms: 5 + -5 = 0 0 + 5k = 40 + -5 5k = 40 + -5 Combine like terms: 40 + -5 = 35 5k = 35 Divide each side by '5'. k = 7 Simplifying k = 7
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