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Simplifying -5k + 36 = 8(1 + -1k) + -1k Reorder the terms: 36 + -5k = 8(1 + -1k) + -1k 36 + -5k = (1 * 8 + -1k * 8) + -1k 36 + -5k = (8 + -8k) + -1k Combine like terms: -8k + -1k = -9k 36 + -5k = 8 + -9k Solving 36 + -5k = 8 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 36 + -5k + 9k = 8 + -9k + 9k Combine like terms: -5k + 9k = 4k 36 + 4k = 8 + -9k + 9k Combine like terms: -9k + 9k = 0 36 + 4k = 8 + 0 36 + 4k = 8 Add '-36' to each side of the equation. 36 + -36 + 4k = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 4k = 8 + -36 4k = 8 + -36 Combine like terms: 8 + -36 = -28 4k = -28 Divide each side by '4'. k = -7 Simplifying k = -7
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