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Simplifying 5k + -40 = -7 + k Reorder the terms: -40 + 5k = -7 + k Solving -40 + 5k = -7 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -40 + 5k + -1k = -7 + k + -1k Combine like terms: 5k + -1k = 4k -40 + 4k = -7 + k + -1k Combine like terms: k + -1k = 0 -40 + 4k = -7 + 0 -40 + 4k = -7 Add '40' to each side of the equation. -40 + 40 + 4k = -7 + 40 Combine like terms: -40 + 40 = 0 0 + 4k = -7 + 40 4k = -7 + 40 Combine like terms: -7 + 40 = 33 4k = 33 Divide each side by '4'. k = 8.25 Simplifying k = 8.25
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