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Simplifying 3j + 13 = 12j + -5 Reorder the terms: 13 + 3j = 12j + -5 Reorder the terms: 13 + 3j = -5 + 12j Solving 13 + 3j = -5 + 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. 13 + 3j + -12j = -5 + 12j + -12j Combine like terms: 3j + -12j = -9j 13 + -9j = -5 + 12j + -12j Combine like terms: 12j + -12j = 0 13 + -9j = -5 + 0 13 + -9j = -5 Add '-13' to each side of the equation. 13 + -13 + -9j = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -9j = -5 + -13 -9j = -5 + -13 Combine like terms: -5 + -13 = -18 -9j = -18 Divide each side by '-9'. j = 2 Simplifying j = 2
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