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Simplifying 5i + 10 = 2i + -5 Reorder the terms: 10 + 5i = 2i + -5 Reorder the terms: 10 + 5i = -5 + 2i Solving 10 + 5i = -5 + 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. 10 + 5i + -2i = -5 + 2i + -2i Combine like terms: 5i + -2i = 3i 10 + 3i = -5 + 2i + -2i Combine like terms: 2i + -2i = 0 10 + 3i = -5 + 0 10 + 3i = -5 Add '-10' to each side of the equation. 10 + -10 + 3i = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 3i = -5 + -10 3i = -5 + -10 Combine like terms: -5 + -10 = -15 3i = -15 Divide each side by '3'. i = -5 Simplifying i = -5
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