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Simplifying 5k + 7 = 6k + -1 Reorder the terms: 7 + 5k = 6k + -1 Reorder the terms: 7 + 5k = -1 + 6k Solving 7 + 5k = -1 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 7 + 5k + -6k = -1 + 6k + -6k Combine like terms: 5k + -6k = -1k 7 + -1k = -1 + 6k + -6k Combine like terms: 6k + -6k = 0 7 + -1k = -1 + 0 7 + -1k = -1 Add '-7' to each side of the equation. 7 + -7 + -1k = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = -1 + -7 -1k = -1 + -7 Combine like terms: -1 + -7 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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