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Simplifying 1 + k = 11 + 4k + k Combine like terms: 4k + k = 5k 1 + k = 11 + 5k Solving 1 + k = 11 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 1 + k + -5k = 11 + 5k + -5k Combine like terms: k + -5k = -4k 1 + -4k = 11 + 5k + -5k Combine like terms: 5k + -5k = 0 1 + -4k = 11 + 0 1 + -4k = 11 Add '-1' to each side of the equation. 1 + -1 + -4k = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -4k = 11 + -1 -4k = 11 + -1 Combine like terms: 11 + -1 = 10 -4k = 10 Divide each side by '-4'. k = -2.5 Simplifying k = -2.5
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