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Simplifying 5j + -12 + 12j = 4 + 18j + -8 Reorder the terms: -12 + 5j + 12j = 4 + 18j + -8 Combine like terms: 5j + 12j = 17j -12 + 17j = 4 + 18j + -8 Reorder the terms: -12 + 17j = 4 + -8 + 18j Combine like terms: 4 + -8 = -4 -12 + 17j = -4 + 18j Solving -12 + 17j = -4 + 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. -12 + 17j + -18j = -4 + 18j + -18j Combine like terms: 17j + -18j = -1j -12 + -1j = -4 + 18j + -18j Combine like terms: 18j + -18j = 0 -12 + -1j = -4 + 0 -12 + -1j = -4 Add '12' to each side of the equation. -12 + 12 + -1j = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -1j = -4 + 12 -1j = -4 + 12 Combine like terms: -4 + 12 = 8 -1j = 8 Divide each side by '-1'. j = -8 Simplifying j = -8
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