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Simplifying 6i + -4 = 2i + 24 Reorder the terms: -4 + 6i = 2i + 24 Reorder the terms: -4 + 6i = 24 + 2i Solving -4 + 6i = 24 + 2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. -4 + 6i + -2i = 24 + 2i + -2i Combine like terms: 6i + -2i = 4i -4 + 4i = 24 + 2i + -2i Combine like terms: 2i + -2i = 0 -4 + 4i = 24 + 0 -4 + 4i = 24 Add '4' to each side of the equation. -4 + 4 + 4i = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 4i = 24 + 4 4i = 24 + 4 Combine like terms: 24 + 4 = 28 4i = 28 Divide each side by '4'. i = 7 Simplifying i = 7
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