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Simplifying 4 = 1i + 0.5i Combine like terms: 1i + 0.5i = 1.5i 4 = 1.5i Solving 4 = 1.5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1.5i' to each side of the equation. 4 + -1.5i = 1.5i + -1.5i Combine like terms: 1.5i + -1.5i = 0.0 4 + -1.5i = 0.0 Add '-4' to each side of the equation. 4 + -4 + -1.5i = 0.0 + -4 Combine like terms: 4 + -4 = 0 0 + -1.5i = 0.0 + -4 -1.5i = 0.0 + -4 Combine like terms: 0.0 + -4 = -4 -1.5i = -4 Divide each side by '-1.5'. i = 2.666666667 Simplifying i = 2.666666667
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