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Simplifying 1.09 = j + -4.99 Reorder the terms: 1.09 = -4.99 + j Solving 1.09 = -4.99 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. 1.09 + -1j = -4.99 + j + -1j Combine like terms: j + -1j = 0 1.09 + -1j = -4.99 + 0 1.09 + -1j = -4.99 Add '-1.09' to each side of the equation. 1.09 + -1.09 + -1j = -4.99 + -1.09 Combine like terms: 1.09 + -1.09 = 0.00 0.00 + -1j = -4.99 + -1.09 -1j = -4.99 + -1.09 Combine like terms: -4.99 + -1.09 = -6.08 -1j = -6.08 Divide each side by '-1'. j = 6.08 Simplifying j = 6.08
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