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Simplifying 2(i + 1) = 3(i + -5) Reorder the terms: 2(1 + i) = 3(i + -5) (1 * 2 + i * 2) = 3(i + -5) (2 + 2i) = 3(i + -5) Reorder the terms: 2 + 2i = 3(-5 + i) 2 + 2i = (-5 * 3 + i * 3) 2 + 2i = (-15 + 3i) Solving 2 + 2i = -15 + 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 + 2i + -3i = -15 + 3i + -3i Combine like terms: 2i + -3i = -1i 2 + -1i = -15 + 3i + -3i Combine like terms: 3i + -3i = 0 2 + -1i = -15 + 0 2 + -1i = -15 Add '-2' to each side of the equation. 2 + -2 + -1i = -15 + -2 Combine like terms: 2 + -2 = 0 0 + -1i = -15 + -2 -1i = -15 + -2 Combine like terms: -15 + -2 = -17 -1i = -17 Divide each side by '-1'. i = 17 Simplifying i = 17
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