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Simplifying 6k + 71 = k + -24 Reorder the terms: 71 + 6k = k + -24 Reorder the terms: 71 + 6k = -24 + k Solving 71 + 6k = -24 + 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. 71 + 6k + -1k = -24 + k + -1k Combine like terms: 6k + -1k = 5k 71 + 5k = -24 + k + -1k Combine like terms: k + -1k = 0 71 + 5k = -24 + 0 71 + 5k = -24 Add '-71' to each side of the equation. 71 + -71 + 5k = -24 + -71 Combine like terms: 71 + -71 = 0 0 + 5k = -24 + -71 5k = -24 + -71 Combine like terms: -24 + -71 = -95 5k = -95 Divide each side by '5'. k = -19 Simplifying k = -19
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