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Simplifying -11 + 1 + 2k + 4k = k + 4 + 6 Combine like terms: -11 + 1 = -10 -10 + 2k + 4k = k + 4 + 6 Combine like terms: 2k + 4k = 6k -10 + 6k = k + 4 + 6 Reorder the terms: -10 + 6k = 4 + 6 + k Combine like terms: 4 + 6 = 10 -10 + 6k = 10 + k Solving -10 + 6k = 10 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -10 + 6k + -1k = 10 + k + -1k Combine like terms: 6k + -1k = 5k -10 + 5k = 10 + k + -1k Combine like terms: k + -1k = 0 -10 + 5k = 10 + 0 -10 + 5k = 10 Add '10' to each side of the equation. -10 + 10 + 5k = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 5k = 10 + 10 5k = 10 + 10 Combine like terms: 10 + 10 = 20 5k = 20 Divide each side by '5'. k = 4 Simplifying k = 4
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