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Simplifying 3(j + 2) + 8 = 23 + 8(6j + 2) Reorder the terms: 3(2 + j) + 8 = 23 + 8(6j + 2) (2 * 3 + j * 3) + 8 = 23 + 8(6j + 2) (6 + 3j) + 8 = 23 + 8(6j + 2) Reorder the terms: 6 + 8 + 3j = 23 + 8(6j + 2) Combine like terms: 6 + 8 = 14 14 + 3j = 23 + 8(6j + 2) Reorder the terms: 14 + 3j = 23 + 8(2 + 6j) 14 + 3j = 23 + (2 * 8 + 6j * 8) 14 + 3j = 23 + (16 + 48j) Combine like terms: 23 + 16 = 39 14 + 3j = 39 + 48j Solving 14 + 3j = 39 + 48j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-48j' to each side of the equation. 14 + 3j + -48j = 39 + 48j + -48j Combine like terms: 3j + -48j = -45j 14 + -45j = 39 + 48j + -48j Combine like terms: 48j + -48j = 0 14 + -45j = 39 + 0 14 + -45j = 39 Add '-14' to each side of the equation. 14 + -14 + -45j = 39 + -14 Combine like terms: 14 + -14 = 0 0 + -45j = 39 + -14 -45j = 39 + -14 Combine like terms: 39 + -14 = 25 -45j = 25 Divide each side by '-45'. j = -0.5555555556 Simplifying j = -0.5555555556
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