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Simplifying 5(i + 2) = 8(i + 1) Reorder the terms: 5(2 + i) = 8(i + 1) (2 * 5 + i * 5) = 8(i + 1) (10 + 5i) = 8(i + 1) Reorder the terms: 10 + 5i = 8(1 + i) 10 + 5i = (1 * 8 + i * 8) 10 + 5i = (8 + 8i) Solving 10 + 5i = 8 + 8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. 10 + 5i + -8i = 8 + 8i + -8i Combine like terms: 5i + -8i = -3i 10 + -3i = 8 + 8i + -8i Combine like terms: 8i + -8i = 0 10 + -3i = 8 + 0 10 + -3i = 8 Add '-10' to each side of the equation. 10 + -10 + -3i = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -3i = 8 + -10 -3i = 8 + -10 Combine like terms: 8 + -10 = -2 -3i = -2 Divide each side by '-3'. i = 0.6666666667 Simplifying i = 0.6666666667
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