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Simplifying 18j + 13 + -13j = -5 + 6j Reorder the terms: 13 + 18j + -13j = -5 + 6j Combine like terms: 18j + -13j = 5j 13 + 5j = -5 + 6j Solving 13 + 5j = -5 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. 13 + 5j + -6j = -5 + 6j + -6j Combine like terms: 5j + -6j = -1j 13 + -1j = -5 + 6j + -6j Combine like terms: 6j + -6j = 0 13 + -1j = -5 + 0 13 + -1j = -5 Add '-13' to each side of the equation. 13 + -13 + -1j = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -1j = -5 + -13 -1j = -5 + -13 Combine like terms: -5 + -13 = -18 -1j = -18 Divide each side by '-1'. j = 18 Simplifying j = 18
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