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Simplifying 5k + -40 = 7 + -1k Reorder the terms: -40 + 5k = 7 + -1k Solving -40 + 5k = 7 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -40 + 5k + k = 7 + -1k + k Combine like terms: 5k + k = 6k -40 + 6k = 7 + -1k + k Combine like terms: -1k + k = 0 -40 + 6k = 7 + 0 -40 + 6k = 7 Add '40' to each side of the equation. -40 + 40 + 6k = 7 + 40 Combine like terms: -40 + 40 = 0 0 + 6k = 7 + 40 6k = 7 + 40 Combine like terms: 7 + 40 = 47 6k = 47 Divide each side by '6'. k = 7.833333333 Simplifying k = 7.833333333
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