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Simplifying 4(j + 2) + 3(j + 1) = -3 Reorder the terms: 4(2 + j) + 3(j + 1) = -3 (2 * 4 + j * 4) + 3(j + 1) = -3 (8 + 4j) + 3(j + 1) = -3 Reorder the terms: 8 + 4j + 3(1 + j) = -3 8 + 4j + (1 * 3 + j * 3) = -3 8 + 4j + (3 + 3j) = -3 Reorder the terms: 8 + 3 + 4j + 3j = -3 Combine like terms: 8 + 3 = 11 11 + 4j + 3j = -3 Combine like terms: 4j + 3j = 7j 11 + 7j = -3 Solving 11 + 7j = -3 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 7j = -3 + -11 Combine like terms: 11 + -11 = 0 0 + 7j = -3 + -11 7j = -3 + -11 Combine like terms: -3 + -11 = -14 7j = -14 Divide each side by '7'. j = -2 Simplifying j = -2
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