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Simplifying -4(-1k + -8) + -7 = 30 + 5k Reorder the terms: -4(-8 + -1k) + -7 = 30 + 5k (-8 * -4 + -1k * -4) + -7 = 30 + 5k (32 + 4k) + -7 = 30 + 5k Reorder the terms: 32 + -7 + 4k = 30 + 5k Combine like terms: 32 + -7 = 25 25 + 4k = 30 + 5k Solving 25 + 4k = 30 + 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. 25 + 4k + -5k = 30 + 5k + -5k Combine like terms: 4k + -5k = -1k 25 + -1k = 30 + 5k + -5k Combine like terms: 5k + -5k = 0 25 + -1k = 30 + 0 25 + -1k = 30 Add '-25' to each side of the equation. 25 + -25 + -1k = 30 + -25 Combine like terms: 25 + -25 = 0 0 + -1k = 30 + -25 -1k = 30 + -25 Combine like terms: 30 + -25 = 5 -1k = 5 Divide each side by '-1'. k = -5 Simplifying k = -5
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