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