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Simplifying -10i + 2 = 4(-2i + -2) Reorder the terms: 2 + -10i = 4(-2i + -2) Reorder the terms: 2 + -10i = 4(-2 + -2i) 2 + -10i = (-2 * 4 + -2i * 4) 2 + -10i = (-8 + -8i) Solving 2 + -10i = -8 + -8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8i' to each side of the equation. 2 + -10i + 8i = -8 + -8i + 8i Combine like terms: -10i + 8i = -2i 2 + -2i = -8 + -8i + 8i Combine like terms: -8i + 8i = 0 2 + -2i = -8 + 0 2 + -2i = -8 Add '-2' to each side of the equation. 2 + -2 + -2i = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -2i = -8 + -2 -2i = -8 + -2 Combine like terms: -8 + -2 = -10 -2i = -10 Divide each side by '-2'. i = 5 Simplifying i = 5
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