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Simplifying 10j + 8 = 12j + 20 Reorder the terms: 8 + 10j = 12j + 20 Reorder the terms: 8 + 10j = 20 + 12j Solving 8 + 10j = 20 + 12j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12j' to each side of the equation. 8 + 10j + -12j = 20 + 12j + -12j Combine like terms: 10j + -12j = -2j 8 + -2j = 20 + 12j + -12j Combine like terms: 12j + -12j = 0 8 + -2j = 20 + 0 8 + -2j = 20 Add '-8' to each side of the equation. 8 + -8 + -2j = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -2j = 20 + -8 -2j = 20 + -8 Combine like terms: 20 + -8 = 12 -2j = 12 Divide each side by '-2'. j = -6 Simplifying j = -6
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