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Simplifying 4 + -4k + -5 = 11 + 4k + -1 + 5 Reorder the terms: 4 + -5 + -4k = 11 + 4k + -1 + 5 Combine like terms: 4 + -5 = -1 -1 + -4k = 11 + 4k + -1 + 5 Reorder the terms: -1 + -4k = 11 + -1 + 5 + 4k Combine like terms: 11 + -1 = 10 -1 + -4k = 10 + 5 + 4k Combine like terms: 10 + 5 = 15 -1 + -4k = 15 + 4k Solving -1 + -4k = 15 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -1 + -4k + -4k = 15 + 4k + -4k Combine like terms: -4k + -4k = -8k -1 + -8k = 15 + 4k + -4k Combine like terms: 4k + -4k = 0 -1 + -8k = 15 + 0 -1 + -8k = 15 Add '1' to each side of the equation. -1 + 1 + -8k = 15 + 1 Combine like terms: -1 + 1 = 0 0 + -8k = 15 + 1 -8k = 15 + 1 Combine like terms: 15 + 1 = 16 -8k = 16 Divide each side by '-8'. k = -2 Simplifying k = -2
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