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Simplifying -2(2i + -1) = -3i + -10 Reorder the terms: -2(-1 + 2i) = -3i + -10 (-1 * -2 + 2i * -2) = -3i + -10 (2 + -4i) = -3i + -10 Reorder the terms: 2 + -4i = -10 + -3i Solving 2 + -4i = -10 + -3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3i' to each side of the equation. 2 + -4i + 3i = -10 + -3i + 3i Combine like terms: -4i + 3i = -1i 2 + -1i = -10 + -3i + 3i Combine like terms: -3i + 3i = 0 2 + -1i = -10 + 0 2 + -1i = -10 Add '-2' to each side of the equation. 2 + -2 + -1i = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -1i = -10 + -2 -1i = -10 + -2 Combine like terms: -10 + -2 = -12 -1i = -12 Divide each side by '-1'. i = 12 Simplifying i = 12
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