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Simplifying 36 = -9(k + 10) Reorder the terms: 36 = -9(10 + k) 36 = (10 * -9 + k * -9) 36 = (-90 + -9k) Solving 36 = -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. 36 + 9k = -90 + -9k + 9k Combine like terms: -9k + 9k = 0 36 + 9k = -90 + 0 36 + 9k = -90 Add '-36' to each side of the equation. 36 + -36 + 9k = -90 + -36 Combine like terms: 36 + -36 = 0 0 + 9k = -90 + -36 9k = -90 + -36 Combine like terms: -90 + -36 = -126 9k = -126 Divide each side by '9'. k = -14 Simplifying k = -14
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