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Simplifying 3(8j + -10) = 5(7j + 5) Reorder the terms: 3(-10 + 8j) = 5(7j + 5) (-10 * 3 + 8j * 3) = 5(7j + 5) (-30 + 24j) = 5(7j + 5) Reorder the terms: -30 + 24j = 5(5 + 7j) -30 + 24j = (5 * 5 + 7j * 5) -30 + 24j = (25 + 35j) Solving -30 + 24j = 25 + 35j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-35j' to each side of the equation. -30 + 24j + -35j = 25 + 35j + -35j Combine like terms: 24j + -35j = -11j -30 + -11j = 25 + 35j + -35j Combine like terms: 35j + -35j = 0 -30 + -11j = 25 + 0 -30 + -11j = 25 Add '30' to each side of the equation. -30 + 30 + -11j = 25 + 30 Combine like terms: -30 + 30 = 0 0 + -11j = 25 + 30 -11j = 25 + 30 Combine like terms: 25 + 30 = 55 -11j = 55 Divide each side by '-11'. j = -5 Simplifying j = -5
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