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Simplifying (-4 + 7i) + -1(14 + -6i) = -18 + i Remove parenthesis around (-4 + 7i) -4 + 7i + -1(14 + -6i) = -18 + i -4 + 7i + (14 * -1 + -6i * -1) = -18 + i -4 + 7i + (-14 + 6i) = -18 + i Reorder the terms: -4 + -14 + 7i + 6i = -18 + i Combine like terms: -4 + -14 = -18 -18 + 7i + 6i = -18 + i Combine like terms: 7i + 6i = 13i -18 + 13i = -18 + i Add '18' to each side of the equation. -18 + 18 + 13i = -18 + 18 + i Combine like terms: -18 + 18 = 0 0 + 13i = -18 + 18 + i 13i = -18 + 18 + i Combine like terms: -18 + 18 = 0 13i = 0 + i 13i = i Solving 13i = 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. 13i + -1i = i + -1i Combine like terms: 13i + -1i = 12i 12i = i + -1i Combine like terms: i + -1i = 0 12i = 0 Divide each side by '12'. i = 0 Simplifying i = 0
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