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Simplifying 5(i + -4) = 3(i + 2) Reorder the terms: 5(-4 + i) = 3(i + 2) (-4 * 5 + i * 5) = 3(i + 2) (-20 + 5i) = 3(i + 2) Reorder the terms: -20 + 5i = 3(2 + i) -20 + 5i = (2 * 3 + i * 3) -20 + 5i = (6 + 3i) Solving -20 + 5i = 6 + 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. -20 + 5i + -3i = 6 + 3i + -3i Combine like terms: 5i + -3i = 2i -20 + 2i = 6 + 3i + -3i Combine like terms: 3i + -3i = 0 -20 + 2i = 6 + 0 -20 + 2i = 6 Add '20' to each side of the equation. -20 + 20 + 2i = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 2i = 6 + 20 2i = 6 + 20 Combine like terms: 6 + 20 = 26 2i = 26 Divide each side by '2'. i = 13 Simplifying i = 13
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