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Simplifying -1 + 2k = 4k + -10 + -5k Reorder the terms: -1 + 2k = -10 + 4k + -5k Combine like terms: 4k + -5k = -1k -1 + 2k = -10 + -1k Solving -1 + 2k = -10 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -1 + 2k + k = -10 + -1k + k Combine like terms: 2k + k = 3k -1 + 3k = -10 + -1k + k Combine like terms: -1k + k = 0 -1 + 3k = -10 + 0 -1 + 3k = -10 Add '1' to each side of the equation. -1 + 1 + 3k = -10 + 1 Combine like terms: -1 + 1 = 0 0 + 3k = -10 + 1 3k = -10 + 1 Combine like terms: -10 + 1 = -9 3k = -9 Divide each side by '3'. k = -3 Simplifying k = -3
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