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Simplifying 5 + 4k = -5k + -67 Reorder the terms: 5 + 4k = -67 + -5k Solving 5 + 4k = -67 + -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. 5 + 4k + 5k = -67 + -5k + 5k Combine like terms: 4k + 5k = 9k 5 + 9k = -67 + -5k + 5k Combine like terms: -5k + 5k = 0 5 + 9k = -67 + 0 5 + 9k = -67 Add '-5' to each side of the equation. 5 + -5 + 9k = -67 + -5 Combine like terms: 5 + -5 = 0 0 + 9k = -67 + -5 9k = -67 + -5 Combine like terms: -67 + -5 = -72 9k = -72 Divide each side by '9'. k = -8 Simplifying k = -8
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