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Simplifying 5j + -12 + 13j = 4j + 18j + -8 Reorder the terms: -12 + 5j + 13j = 4j + 18j + -8 Combine like terms: 5j + 13j = 18j -12 + 18j = 4j + 18j + -8 Reorder the terms: -12 + 18j = -8 + 4j + 18j Combine like terms: 4j + 18j = 22j -12 + 18j = -8 + 22j Solving -12 + 18j = -8 + 22j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-22j' to each side of the equation. -12 + 18j + -22j = -8 + 22j + -22j Combine like terms: 18j + -22j = -4j -12 + -4j = -8 + 22j + -22j Combine like terms: 22j + -22j = 0 -12 + -4j = -8 + 0 -12 + -4j = -8 Add '12' to each side of the equation. -12 + 12 + -4j = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -4j = -8 + 12 -4j = -8 + 12 Combine like terms: -8 + 12 = 4 -4j = 4 Divide each side by '-4'. j = -1 Simplifying j = -1
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