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Simplifying 3j + -12 = 8j + 13 Reorder the terms: -12 + 3j = 8j + 13 Reorder the terms: -12 + 3j = 13 + 8j Solving -12 + 3j = 13 + 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. -12 + 3j + -8j = 13 + 8j + -8j Combine like terms: 3j + -8j = -5j -12 + -5j = 13 + 8j + -8j Combine like terms: 8j + -8j = 0 -12 + -5j = 13 + 0 -12 + -5j = 13 Add '12' to each side of the equation. -12 + 12 + -5j = 13 + 12 Combine like terms: -12 + 12 = 0 0 + -5j = 13 + 12 -5j = 13 + 12 Combine like terms: 13 + 12 = 25 -5j = 25 Divide each side by '-5'. j = -5 Simplifying j = -5
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