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Simplifying 3(j + 7) + 4(j + -4) = -30 Reorder the terms: 3(7 + j) + 4(j + -4) = -30 (7 * 3 + j * 3) + 4(j + -4) = -30 (21 + 3j) + 4(j + -4) = -30 Reorder the terms: 21 + 3j + 4(-4 + j) = -30 21 + 3j + (-4 * 4 + j * 4) = -30 21 + 3j + (-16 + 4j) = -30 Reorder the terms: 21 + -16 + 3j + 4j = -30 Combine like terms: 21 + -16 = 5 5 + 3j + 4j = -30 Combine like terms: 3j + 4j = 7j 5 + 7j = -30 Solving 5 + 7j = -30 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7j = -30 + -5 Combine like terms: 5 + -5 = 0 0 + 7j = -30 + -5 7j = -30 + -5 Combine like terms: -30 + -5 = -35 7j = -35 Divide each side by '7'. j = -5 Simplifying j = -5
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