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Simplifying 7 + -7(-11j + -18) = 7(12j + 1) Reorder the terms: 7 + -7(-18 + -11j) = 7(12j + 1) 7 + (-18 * -7 + -11j * -7) = 7(12j + 1) 7 + (126 + 77j) = 7(12j + 1) Combine like terms: 7 + 126 = 133 133 + 77j = 7(12j + 1) Reorder the terms: 133 + 77j = 7(1 + 12j) 133 + 77j = (1 * 7 + 12j * 7) 133 + 77j = (7 + 84j) Solving 133 + 77j = 7 + 84j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-84j' to each side of the equation. 133 + 77j + -84j = 7 + 84j + -84j Combine like terms: 77j + -84j = -7j 133 + -7j = 7 + 84j + -84j Combine like terms: 84j + -84j = 0 133 + -7j = 7 + 0 133 + -7j = 7 Add '-133' to each side of the equation. 133 + -133 + -7j = 7 + -133 Combine like terms: 133 + -133 = 0 0 + -7j = 7 + -133 -7j = 7 + -133 Combine like terms: 7 + -133 = -126 -7j = -126 Divide each side by '-7'. j = 18 Simplifying j = 18
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