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Simplifying 6i + 5 = 30i + -2 Reorder the terms: 5 + 6i = 30i + -2 Reorder the terms: 5 + 6i = -2 + 30i Solving 5 + 6i = -2 + 30i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-30i' to each side of the equation. 5 + 6i + -30i = -2 + 30i + -30i Combine like terms: 6i + -30i = -24i 5 + -24i = -2 + 30i + -30i Combine like terms: 30i + -30i = 0 5 + -24i = -2 + 0 5 + -24i = -2 Add '-5' to each side of the equation. 5 + -5 + -24i = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -24i = -2 + -5 -24i = -2 + -5 Combine like terms: -2 + -5 = -7 -24i = -7 Divide each side by '-24'. i = 0.2916666667 Simplifying i = 0.2916666667
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