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Simplifying k + 27 = -4(k + 2) Reorder the terms: 27 + k = -4(k + 2) Reorder the terms: 27 + k = -4(2 + k) 27 + k = (2 * -4 + k * -4) 27 + k = (-8 + -4k) Solving 27 + k = -8 + -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 + k + 4k = -8 + -4k + 4k Combine like terms: k + 4k = 5k 27 + 5k = -8 + -4k + 4k Combine like terms: -4k + 4k = 0 27 + 5k = -8 + 0 27 + 5k = -8 Add '-27' to each side of the equation. 27 + -27 + 5k = -8 + -27 Combine like terms: 27 + -27 = 0 0 + 5k = -8 + -27 5k = -8 + -27 Combine like terms: -8 + -27 = -35 5k = -35 Divide each side by '5'. k = -7 Simplifying k = -7
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