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Simplifying 7i + -3 = i + 15 Reorder the terms: -3 + 7i = i + 15 Reorder the terms: -3 + 7i = 15 + i Solving -3 + 7i = 15 + 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. -3 + 7i + -1i = 15 + i + -1i Combine like terms: 7i + -1i = 6i -3 + 6i = 15 + i + -1i Combine like terms: i + -1i = 0 -3 + 6i = 15 + 0 -3 + 6i = 15 Add '3' to each side of the equation. -3 + 3 + 6i = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 6i = 15 + 3 6i = 15 + 3 Combine like terms: 15 + 3 = 18 6i = 18 Divide each side by '6'. i = 3 Simplifying i = 3
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