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Simplifying 2(i + 4) = 4(i + -2) Reorder the terms: 2(4 + i) = 4(i + -2) (4 * 2 + i * 2) = 4(i + -2) (8 + 2i) = 4(i + -2) Reorder the terms: 8 + 2i = 4(-2 + i) 8 + 2i = (-2 * 4 + i * 4) 8 + 2i = (-8 + 4i) Solving 8 + 2i = -8 + 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. 8 + 2i + -4i = -8 + 4i + -4i Combine like terms: 2i + -4i = -2i 8 + -2i = -8 + 4i + -4i Combine like terms: 4i + -4i = 0 8 + -2i = -8 + 0 8 + -2i = -8 Add '-8' to each side of the equation. 8 + -8 + -2i = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -2i = -8 + -8 -2i = -8 + -8 Combine like terms: -8 + -8 = -16 -2i = -16 Divide each side by '-2'. i = 8 Simplifying i = 8
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