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Simplifying (2 + 3i) + (c + di) = 2 + i Remove parenthesis around (2 + 3i) 2 + 3i + (c + di) = 2 + i Remove parenthesis around (c + di) 2 + 3i + c + di = 2 + i Reorder the terms: 2 + c + di + 3i = 2 + i Add '-2' to each side of the equation. 2 + c + di + -2 + 3i = 2 + -2 + i Reorder the terms: 2 + -2 + c + di + 3i = 2 + -2 + i Combine like terms: 2 + -2 = 0 0 + c + di + 3i = 2 + -2 + i c + di + 3i = 2 + -2 + i Combine like terms: 2 + -2 = 0 c + di + 3i = 0 + i c + di + 3i = i Solving c + di + 3i = i Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1di' to each side of the equation. c + di + -1di + 3i = -1di + i Combine like terms: di + -1di = 0 c + 0 + 3i = -1di + i c + 3i = -1di + i Add '-3i' to each side of the equation. c + 3i + -3i = -1di + i + -3i Combine like terms: 3i + -3i = 0 c + 0 = -1di + i + -3i c = -1di + i + -3i Combine like terms: i + -3i = -2i c = -1di + -2i Simplifying c = -1di + -2i
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