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Simplifying 27 + 8k = -1(-4k + -3) Reorder the terms: 27 + 8k = -1(-3 + -4k) 27 + 8k = (-3 * -1 + -4k * -1) 27 + 8k = (3 + 4k) Solving 27 + 8k = 3 + 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. 27 + 8k + -4k = 3 + 4k + -4k Combine like terms: 8k + -4k = 4k 27 + 4k = 3 + 4k + -4k Combine like terms: 4k + -4k = 0 27 + 4k = 3 + 0 27 + 4k = 3 Add '-27' to each side of the equation. 27 + -27 + 4k = 3 + -27 Combine like terms: 27 + -27 = 0 0 + 4k = 3 + -27 4k = 3 + -27 Combine like terms: 3 + -27 = -24 4k = -24 Divide each side by '4'. k = -6 Simplifying k = -6
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