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Simplifying 3(8j + -10) = 5(7 + 5) Reorder the terms: 3(-10 + 8j) = 5(7 + 5) (-10 * 3 + 8j * 3) = 5(7 + 5) (-30 + 24j) = 5(7 + 5) Combine like terms: 7 + 5 = 12 -30 + 24j = 5(12) Multiply 5 * 12 -30 + 24j = 60 Solving -30 + 24j = 60 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 24j = 60 + 30 Combine like terms: -30 + 30 = 0 0 + 24j = 60 + 30 24j = 60 + 30 Combine like terms: 60 + 30 = 90 24j = 90 Divide each side by '24'. j = 3.75 Simplifying j = 3.75
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