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Simplifying -3(i + -5) = 2(i + -5) Reorder the terms: -3(-5 + i) = 2(i + -5) (-5 * -3 + i * -3) = 2(i + -5) (15 + -3i) = 2(i + -5) Reorder the terms: 15 + -3i = 2(-5 + i) 15 + -3i = (-5 * 2 + i * 2) 15 + -3i = (-10 + 2i) Solving 15 + -3i = -10 + 2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. 15 + -3i + -2i = -10 + 2i + -2i Combine like terms: -3i + -2i = -5i 15 + -5i = -10 + 2i + -2i Combine like terms: 2i + -2i = 0 15 + -5i = -10 + 0 15 + -5i = -10 Add '-15' to each side of the equation. 15 + -15 + -5i = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -5i = -10 + -15 -5i = -10 + -15 Combine like terms: -10 + -15 = -25 -5i = -25 Divide each side by '-5'. i = 5 Simplifying i = 5
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