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Simplifying -4k + 1 = -6k + 7 Reorder the terms: 1 + -4k = -6k + 7 Reorder the terms: 1 + -4k = 7 + -6k Solving 1 + -4k = 7 + -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. 1 + -4k + 6k = 7 + -6k + 6k Combine like terms: -4k + 6k = 2k 1 + 2k = 7 + -6k + 6k Combine like terms: -6k + 6k = 0 1 + 2k = 7 + 0 1 + 2k = 7 Add '-1' to each side of the equation. 1 + -1 + 2k = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2k = 7 + -1 2k = 7 + -1 Combine like terms: 7 + -1 = 6 2k = 6 Divide each side by '2'. k = 3 Simplifying k = 3
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