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Simplifying 6k + 1 = 4k + -9 Reorder the terms: 1 + 6k = 4k + -9 Reorder the terms: 1 + 6k = -9 + 4k Solving 1 + 6k = -9 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 1 + 6k + -4k = -9 + 4k + -4k Combine like terms: 6k + -4k = 2k 1 + 2k = -9 + 4k + -4k Combine like terms: 4k + -4k = 0 1 + 2k = -9 + 0 1 + 2k = -9 Add '-1' to each side of the equation. 1 + -1 + 2k = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 2k = -9 + -1 2k = -9 + -1 Combine like terms: -9 + -1 = -10 2k = -10 Divide each side by '2'. k = -5 Simplifying k = -5
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