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Simplifying 5j + -12 + -13j = -4 + 18j + -8 Reorder the terms: -12 + 5j + -13j = -4 + 18j + -8 Combine like terms: 5j + -13j = -8j -12 + -8j = -4 + 18j + -8 Reorder the terms: -12 + -8j = -4 + -8 + 18j Combine like terms: -4 + -8 = -12 -12 + -8j = -12 + 18j Add '12' to each side of the equation. -12 + 12 + -8j = -12 + 12 + 18j Combine like terms: -12 + 12 = 0 0 + -8j = -12 + 12 + 18j -8j = -12 + 12 + 18j Combine like terms: -12 + 12 = 0 -8j = 0 + 18j -8j = 18j Solving -8j = 18j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-18j' to each side of the equation. -8j + -18j = 18j + -18j Combine like terms: -8j + -18j = -26j -26j = 18j + -18j Combine like terms: 18j + -18j = 0 -26j = 0 Divide each side by '-26'. j = 0 Simplifying j = 0
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