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Simplifying 76 = 4(6i + -5) Reorder the terms: 76 = 4(-5 + 6i) 76 = (-5 * 4 + 6i * 4) 76 = (-20 + 24i) Solving 76 = -20 + 24i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-24i' to each side of the equation. 76 + -24i = -20 + 24i + -24i Combine like terms: 24i + -24i = 0 76 + -24i = -20 + 0 76 + -24i = -20 Add '-76' to each side of the equation. 76 + -76 + -24i = -20 + -76 Combine like terms: 76 + -76 = 0 0 + -24i = -20 + -76 -24i = -20 + -76 Combine like terms: -20 + -76 = -96 -24i = -96 Divide each side by '-24'. i = 4 Simplifying i = 4
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