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Simplifying 12j + 8 = 8j + -34 Reorder the terms: 8 + 12j = 8j + -34 Reorder the terms: 8 + 12j = -34 + 8j Solving 8 + 12j = -34 + 8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8j' to each side of the equation. 8 + 12j + -8j = -34 + 8j + -8j Combine like terms: 12j + -8j = 4j 8 + 4j = -34 + 8j + -8j Combine like terms: 8j + -8j = 0 8 + 4j = -34 + 0 8 + 4j = -34 Add '-8' to each side of the equation. 8 + -8 + 4j = -34 + -8 Combine like terms: 8 + -8 = 0 0 + 4j = -34 + -8 4j = -34 + -8 Combine like terms: -34 + -8 = -42 4j = -42 Divide each side by '4'. j = -10.5 Simplifying j = -10.5
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