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Simplifying 3(j + 10) + -6 = -9 Reorder the terms: 3(10 + j) + -6 = -9 (10 * 3 + j * 3) + -6 = -9 (30 + 3j) + -6 = -9 Reorder the terms: 30 + -6 + 3j = -9 Combine like terms: 30 + -6 = 24 24 + 3j = -9 Solving 24 + 3j = -9 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 3j = -9 + -24 Combine like terms: 24 + -24 = 0 0 + 3j = -9 + -24 3j = -9 + -24 Combine like terms: -9 + -24 = -33 3j = -33 Divide each side by '3'. j = -11 Simplifying j = -11
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