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Simplifying 30(20 + -10) = 30(22) + -30(i) Combine like terms: 20 + -10 = 10 30(10) = 30(22) + -30(i) Multiply 30 * 10 300 = 30(22) + -30(i) Multiply 30 * 22 300 = 660 + -30(i) Solving 300 = 660 + -30i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '30i' to each side of the equation. 300 + 30i = 660 + -30i + 30i Combine like terms: -30i + 30i = 0 300 + 30i = 660 + 0 300 + 30i = 660 Add '-300' to each side of the equation. 300 + -300 + 30i = 660 + -300 Combine like terms: 300 + -300 = 0 0 + 30i = 660 + -300 30i = 660 + -300 Combine like terms: 660 + -300 = 360 30i = 360 Divide each side by '30'. i = 12 Simplifying i = 12
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