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Simplifying 5(21 + -12) + 6i = 100 Combine like terms: 21 + -12 = 9 5(9) + 6i = 100 Multiply 5 * 9 45 + 6i = 100 Solving 45 + 6i = 100 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 6i = 100 + -45 Combine like terms: 45 + -45 = 0 0 + 6i = 100 + -45 6i = 100 + -45 Combine like terms: 100 + -45 = 55 6i = 55 Divide each side by '6'. i = 9.166666667 Simplifying i = 9.166666667
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