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Simplifying 8 + (4k + -4) = -5k + -32 Reorder the terms: 8 + (-4 + 4k) = -5k + -32 Remove parenthesis around (-4 + 4k) 8 + -4 + 4k = -5k + -32 Combine like terms: 8 + -4 = 4 4 + 4k = -5k + -32 Reorder the terms: 4 + 4k = -32 + -5k Solving 4 + 4k = -32 + -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. 4 + 4k + 5k = -32 + -5k + 5k Combine like terms: 4k + 5k = 9k 4 + 9k = -32 + -5k + 5k Combine like terms: -5k + 5k = 0 4 + 9k = -32 + 0 4 + 9k = -32 Add '-4' to each side of the equation. 4 + -4 + 9k = -32 + -4 Combine like terms: 4 + -4 = 0 0 + 9k = -32 + -4 9k = -32 + -4 Combine like terms: -32 + -4 = -36 9k = -36 Divide each side by '9'. k = -4 Simplifying k = -4
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