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Simplifying 1k + -40 = 7 + -1k Reorder the terms: -40 + 1k = 7 + -1k Solving -40 + 1k = 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 + 1k + k = 7 + -1k + k Combine like terms: 1k + k = 2k -40 + 2k = 7 + -1k + k Combine like terms: -1k + k = 0 -40 + 2k = 7 + 0 -40 + 2k = 7 Add '40' to each side of the equation. -40 + 40 + 2k = 7 + 40 Combine like terms: -40 + 40 = 0 0 + 2k = 7 + 40 2k = 7 + 40 Combine like terms: 7 + 40 = 47 2k = 47 Divide each side by '2'. k = 23.5 Simplifying k = 23.5
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