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Simplifying -8k + -27 = 7(3 + -2k) Reorder the terms: -27 + -8k = 7(3 + -2k) -27 + -8k = (3 * 7 + -2k * 7) -27 + -8k = (21 + -14k) Solving -27 + -8k = 21 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -27 + -8k + 14k = 21 + -14k + 14k Combine like terms: -8k + 14k = 6k -27 + 6k = 21 + -14k + 14k Combine like terms: -14k + 14k = 0 -27 + 6k = 21 + 0 -27 + 6k = 21 Add '27' to each side of the equation. -27 + 27 + 6k = 21 + 27 Combine like terms: -27 + 27 = 0 0 + 6k = 21 + 27 6k = 21 + 27 Combine like terms: 21 + 27 = 48 6k = 48 Divide each side by '6'. k = 8 Simplifying k = 8
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