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Simplifying 2(i + -1) = 5(i + 6) Reorder the terms: 2(-1 + i) = 5(i + 6) (-1 * 2 + i * 2) = 5(i + 6) (-2 + 2i) = 5(i + 6) Reorder the terms: -2 + 2i = 5(6 + i) -2 + 2i = (6 * 5 + i * 5) -2 + 2i = (30 + 5i) Solving -2 + 2i = 30 + 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. -2 + 2i + -5i = 30 + 5i + -5i Combine like terms: 2i + -5i = -3i -2 + -3i = 30 + 5i + -5i Combine like terms: 5i + -5i = 0 -2 + -3i = 30 + 0 -2 + -3i = 30 Add '2' to each side of the equation. -2 + 2 + -3i = 30 + 2 Combine like terms: -2 + 2 = 0 0 + -3i = 30 + 2 -3i = 30 + 2 Combine like terms: 30 + 2 = 32 -3i = 32 Divide each side by '-3'. i = -10.66666667 Simplifying i = -10.66666667
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