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Simplifying 8(15j + -10) = 5(6 + 3j) Reorder the terms: 8(-10 + 15j) = 5(6 + 3j) (-10 * 8 + 15j * 8) = 5(6 + 3j) (-80 + 120j) = 5(6 + 3j) -80 + 120j = (6 * 5 + 3j * 5) -80 + 120j = (30 + 15j) Solving -80 + 120j = 30 + 15j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-15j' to each side of the equation. -80 + 120j + -15j = 30 + 15j + -15j Combine like terms: 120j + -15j = 105j -80 + 105j = 30 + 15j + -15j Combine like terms: 15j + -15j = 0 -80 + 105j = 30 + 0 -80 + 105j = 30 Add '80' to each side of the equation. -80 + 80 + 105j = 30 + 80 Combine like terms: -80 + 80 = 0 0 + 105j = 30 + 80 105j = 30 + 80 Combine like terms: 30 + 80 = 110 105j = 110 Divide each side by '105'. j = 1.047619048 Simplifying j = 1.047619048
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