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Simplifying 3 + -1k + -4 + -1k = k + 11 Reorder the terms: 3 + -4 + -1k + -1k = k + 11 Combine like terms: 3 + -4 = -1 -1 + -1k + -1k = k + 11 Combine like terms: -1k + -1k = -2k -1 + -2k = k + 11 Reorder the terms: -1 + -2k = 11 + k Solving -1 + -2k = 11 + 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. -1 + -2k + -1k = 11 + k + -1k Combine like terms: -2k + -1k = -3k -1 + -3k = 11 + k + -1k Combine like terms: k + -1k = 0 -1 + -3k = 11 + 0 -1 + -3k = 11 Add '1' to each side of the equation. -1 + 1 + -3k = 11 + 1 Combine like terms: -1 + 1 = 0 0 + -3k = 11 + 1 -3k = 11 + 1 Combine like terms: 11 + 1 = 12 -3k = 12 Divide each side by '-3'. k = -4 Simplifying k = -4
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