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Simplifying 27 + 3k = -5(1 + k) 27 + 3k = (1 * -5 + k * -5) 27 + 3k = (-5 + -5k) Solving 27 + 3k = -5 + -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. 27 + 3k + 5k = -5 + -5k + 5k Combine like terms: 3k + 5k = 8k 27 + 8k = -5 + -5k + 5k Combine like terms: -5k + 5k = 0 27 + 8k = -5 + 0 27 + 8k = -5 Add '-27' to each side of the equation. 27 + -27 + 8k = -5 + -27 Combine like terms: 27 + -27 = 0 0 + 8k = -5 + -27 8k = -5 + -27 Combine like terms: -5 + -27 = -32 8k = -32 Divide each side by '8'. k = -4 Simplifying k = -4
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