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Simplifying 6j + 15 + -8j + 10 = 3(3j + 1) Reorder the terms: 15 + 10 + 6j + -8j = 3(3j + 1) Combine like terms: 15 + 10 = 25 25 + 6j + -8j = 3(3j + 1) Combine like terms: 6j + -8j = -2j 25 + -2j = 3(3j + 1) Reorder the terms: 25 + -2j = 3(1 + 3j) 25 + -2j = (1 * 3 + 3j * 3) 25 + -2j = (3 + 9j) Solving 25 + -2j = 3 + 9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9j' to each side of the equation. 25 + -2j + -9j = 3 + 9j + -9j Combine like terms: -2j + -9j = -11j 25 + -11j = 3 + 9j + -9j Combine like terms: 9j + -9j = 0 25 + -11j = 3 + 0 25 + -11j = 3 Add '-25' to each side of the equation. 25 + -25 + -11j = 3 + -25 Combine like terms: 25 + -25 = 0 0 + -11j = 3 + -25 -11j = 3 + -25 Combine like terms: 3 + -25 = -22 -11j = -22 Divide each side by '-11'. j = 2 Simplifying j = 2
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