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Simplifying (-3 + I) + (-4 + -1i) = 0 Remove parenthesis around (-3 + I) -3 + I + (-4 + -1i) = 0 Remove parenthesis around (-4 + -1i) -3 + I + -4 + -1i = 0 Reorder the terms: -3 + -4 + I + -1i = 0 Combine like terms: -3 + -4 = -7 -7 + I + -1i = 0 Solving -7 + I + -1i = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '7' to each side of the equation. -7 + I + 7 + -1i = 0 + 7 Reorder the terms: -7 + 7 + I + -1i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + I + -1i = 0 + 7 I + -1i = 0 + 7 Combine like terms: 0 + 7 = 7 I + -1i = 7 Add 'i' to each side of the equation. I + -1i + i = 7 + i Combine like terms: -1i + i = 0 I + 0 = 7 + i I = 7 + i Simplifying I = 7 + i
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