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Simplifying 5i + -10 = i + 2 Reorder the terms: -10 + 5i = i + 2 Reorder the terms: -10 + 5i = 2 + i Solving -10 + 5i = 2 + i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. -10 + 5i + -1i = 2 + i + -1i Combine like terms: 5i + -1i = 4i -10 + 4i = 2 + i + -1i Combine like terms: i + -1i = 0 -10 + 4i = 2 + 0 -10 + 4i = 2 Add '10' to each side of the equation. -10 + 10 + 4i = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 4i = 2 + 10 4i = 2 + 10 Combine like terms: 2 + 10 = 12 4i = 12 Divide each side by '4'. i = 3 Simplifying i = 3
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