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Simplifying 2(i + -6) = 4(i + -3) Reorder the terms: 2(-6 + i) = 4(i + -3) (-6 * 2 + i * 2) = 4(i + -3) (-12 + 2i) = 4(i + -3) Reorder the terms: -12 + 2i = 4(-3 + i) -12 + 2i = (-3 * 4 + i * 4) -12 + 2i = (-12 + 4i) Add '12' to each side of the equation. -12 + 12 + 2i = -12 + 12 + 4i Combine like terms: -12 + 12 = 0 0 + 2i = -12 + 12 + 4i 2i = -12 + 12 + 4i Combine like terms: -12 + 12 = 0 2i = 0 + 4i 2i = 4i Solving 2i = 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. 2i + -4i = 4i + -4i Combine like terms: 2i + -4i = -2i -2i = 4i + -4i Combine like terms: 4i + -4i = 0 -2i = 0 Divide each side by '-2'. i = 0 Simplifying i = 0
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