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Simplifying 4k + 6 = 5k + 7 Reorder the terms: 6 + 4k = 5k + 7 Reorder the terms: 6 + 4k = 7 + 5k Solving 6 + 4k = 7 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 6 + 4k + -5k = 7 + 5k + -5k Combine like terms: 4k + -5k = -1k 6 + -1k = 7 + 5k + -5k Combine like terms: 5k + -5k = 0 6 + -1k = 7 + 0 6 + -1k = 7 Add '-6' to each side of the equation. 6 + -6 + -1k = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -1k = 7 + -6 -1k = 7 + -6 Combine like terms: 7 + -6 = 1 -1k = 1 Divide each side by '-1'. k = -1 Simplifying k = -1
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