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Simplifying 213 = -3(9k + 10) Reorder the terms: 213 = -3(10 + 9k) 213 = (10 * -3 + 9k * -3) 213 = (-30 + -27k) Solving 213 = -30 + -27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27k' to each side of the equation. 213 + 27k = -30 + -27k + 27k Combine like terms: -27k + 27k = 0 213 + 27k = -30 + 0 213 + 27k = -30 Add '-213' to each side of the equation. 213 + -213 + 27k = -30 + -213 Combine like terms: 213 + -213 = 0 0 + 27k = -30 + -213 27k = -30 + -213 Combine like terms: -30 + -213 = -243 27k = -243 Divide each side by '27'. k = -9 Simplifying k = -9
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