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Simplifying 2 + -6j + 8j = -2j + -10 Combine like terms: -6j + 8j = 2j 2 + 2j = -2j + -10 Reorder the terms: 2 + 2j = -10 + -2j Solving 2 + 2j = -10 + -2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '2j' to each side of the equation. 2 + 2j + 2j = -10 + -2j + 2j Combine like terms: 2j + 2j = 4j 2 + 4j = -10 + -2j + 2j Combine like terms: -2j + 2j = 0 2 + 4j = -10 + 0 2 + 4j = -10 Add '-2' to each side of the equation. 2 + -2 + 4j = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 4j = -10 + -2 4j = -10 + -2 Combine like terms: -10 + -2 = -12 4j = -12 Divide each side by '4'. j = -3 Simplifying j = -3
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