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Simplifying 7(2j + 5) + -12 + 6j = 0 Reorder the terms: 7(5 + 2j) + -12 + 6j = 0 (5 * 7 + 2j * 7) + -12 + 6j = 0 (35 + 14j) + -12 + 6j = 0 Reorder the terms: 35 + -12 + 14j + 6j = 0 Combine like terms: 35 + -12 = 23 23 + 14j + 6j = 0 Combine like terms: 14j + 6j = 20j 23 + 20j = 0 Solving 23 + 20j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 20j = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 20j = 0 + -23 20j = 0 + -23 Combine like terms: 0 + -23 = -23 20j = -23 Divide each side by '20'. j = -1.15 Simplifying j = -1.15
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