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Simplifying -4(j + -5) + 7j = -7 Reorder the terms: -4(-5 + j) + 7j = -7 (-5 * -4 + j * -4) + 7j = -7 (20 + -4j) + 7j = -7 Combine like terms: -4j + 7j = 3j 20 + 3j = -7 Solving 20 + 3j = -7 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 3j = -7 + -20 Combine like terms: 20 + -20 = 0 0 + 3j = -7 + -20 3j = -7 + -20 Combine like terms: -7 + -20 = -27 3j = -27 Divide each side by '3'. j = -9 Simplifying j = -9
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