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Simplifying 4.55 + 13.6j + -14.98 = 13.5j + -11.52 Reorder the terms: 4.55 + -14.98 + 13.6j = 13.5j + -11.52 Combine like terms: 4.55 + -14.98 = -10.43 -10.43 + 13.6j = 13.5j + -11.52 Reorder the terms: -10.43 + 13.6j = -11.52 + 13.5j Solving -10.43 + 13.6j = -11.52 + 13.5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-13.5j' to each side of the equation. -10.43 + 13.6j + -13.5j = -11.52 + 13.5j + -13.5j Combine like terms: 13.6j + -13.5j = 0.1j -10.43 + 0.1j = -11.52 + 13.5j + -13.5j Combine like terms: 13.5j + -13.5j = 0.0 -10.43 + 0.1j = -11.52 + 0.0 -10.43 + 0.1j = -11.52 Add '10.43' to each side of the equation. -10.43 + 10.43 + 0.1j = -11.52 + 10.43 Combine like terms: -10.43 + 10.43 = 0.00 0.00 + 0.1j = -11.52 + 10.43 0.1j = -11.52 + 10.43 Combine like terms: -11.52 + 10.43 = -1.09 0.1j = -1.09 Divide each side by '0.1'. j = -10.9 Simplifying j = -10.9
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