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Simplifying 5(i + 4) = 15i Reorder the terms: 5(4 + i) = 15i (4 * 5 + i * 5) = 15i (20 + 5i) = 15i Solving 20 + 5i = 15i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15i' to each side of the equation. 20 + 5i + -15i = 15i + -15i Combine like terms: 5i + -15i = -10i 20 + -10i = 15i + -15i Combine like terms: 15i + -15i = 0 20 + -10i = 0 Add '-20' to each side of the equation. 20 + -20 + -10i = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -10i = 0 + -20 -10i = 0 + -20 Combine like terms: 0 + -20 = -20 -10i = -20 Divide each side by '-10'. i = 2 Simplifying i = 2
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