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Simplifying -8 + 5j + 10 = -8 + 7j Reorder the terms: -8 + 10 + 5j = -8 + 7j Combine like terms: -8 + 10 = 2 2 + 5j = -8 + 7j Solving 2 + 5j = -8 + 7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7j' to each side of the equation. 2 + 5j + -7j = -8 + 7j + -7j Combine like terms: 5j + -7j = -2j 2 + -2j = -8 + 7j + -7j Combine like terms: 7j + -7j = 0 2 + -2j = -8 + 0 2 + -2j = -8 Add '-2' to each side of the equation. 2 + -2 + -2j = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -2j = -8 + -2 -2j = -8 + -2 Combine like terms: -8 + -2 = -10 -2j = -10 Divide each side by '-2'. j = 5 Simplifying j = 5
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