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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 = 6k -8 + 3k = 6k Solving -8 + 3k = 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. -8 + 3k + -6k = 6k + -6k Combine like terms: 3k + -6k = -3k -8 + -3k = 6k + -6k Combine like terms: 6k + -6k = 0 -8 + -3k = 0 Add '8' to each side of the equation. -8 + 8 + -3k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3k = 0 + 8 -3k = 0 + 8 Combine like terms: 0 + 8 = 8 -3k = 8 Divide each side by '-3'. k = -2.666666667 Simplifying k = -2.666666667
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