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Simplifying -2(i + 6) + 3 = -11i + 4(i + 4) Reorder the terms: -2(6 + i) + 3 = -11i + 4(i + 4) (6 * -2 + i * -2) + 3 = -11i + 4(i + 4) (-12 + -2i) + 3 = -11i + 4(i + 4) Reorder the terms: -12 + 3 + -2i = -11i + 4(i + 4) Combine like terms: -12 + 3 = -9 -9 + -2i = -11i + 4(i + 4) Reorder the terms: -9 + -2i = -11i + 4(4 + i) -9 + -2i = -11i + (4 * 4 + i * 4) -9 + -2i = -11i + (16 + 4i) Reorder the terms: -9 + -2i = 16 + -11i + 4i Combine like terms: -11i + 4i = -7i -9 + -2i = 16 + -7i Solving -9 + -2i = 16 + -7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7i' to each side of the equation. -9 + -2i + 7i = 16 + -7i + 7i Combine like terms: -2i + 7i = 5i -9 + 5i = 16 + -7i + 7i Combine like terms: -7i + 7i = 0 -9 + 5i = 16 + 0 -9 + 5i = 16 Add '9' to each side of the equation. -9 + 9 + 5i = 16 + 9 Combine like terms: -9 + 9 = 0 0 + 5i = 16 + 9 5i = 16 + 9 Combine like terms: 16 + 9 = 25 5i = 25 Divide each side by '5'. i = 5 Simplifying i = 5
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