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Simplifying 27 = -9(k + -10) Reorder the terms: 27 = -9(-10 + k) 27 = (-10 * -9 + k * -9) 27 = (90 + -9k) Solving 27 = 90 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 27 + 9k = 90 + -9k + 9k Combine like terms: -9k + 9k = 0 27 + 9k = 90 + 0 27 + 9k = 90 Add '-27' to each side of the equation. 27 + -27 + 9k = 90 + -27 Combine like terms: 27 + -27 = 0 0 + 9k = 90 + -27 9k = 90 + -27 Combine like terms: 90 + -27 = 63 9k = 63 Divide each side by '9'. k = 7 Simplifying k = 7
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