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Simplifying 2k + 3 + k + -11 = -2k + 4k Reorder the terms: 3 + -11 + 2k + k = -2k + 4k Combine like terms: 3 + -11 = -8 -8 + 2k + k = -2k + 4k Combine like terms: 2k + k = 3k -8 + 3k = -2k + 4k Combine like terms: -2k + 4k = 2k -8 + 3k = 2k Solving -8 + 3k = 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -8 + 3k + -2k = 2k + -2k Combine like terms: 3k + -2k = 1k -8 + 1k = 2k + -2k Combine like terms: 2k + -2k = 0 -8 + 1k = 0 Add '8' to each side of the equation. -8 + 8 + 1k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1k = 0 + 8 1k = 0 + 8 Combine like terms: 0 + 8 = 8 1k = 8 Divide each side by '1'. k = 8 Simplifying k = 8
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