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Simplifying 12j + 15 = -13j + -35 Reorder the terms: 15 + 12j = -13j + -35 Reorder the terms: 15 + 12j = -35 + -13j Solving 15 + 12j = -35 + -13j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '13j' to each side of the equation. 15 + 12j + 13j = -35 + -13j + 13j Combine like terms: 12j + 13j = 25j 15 + 25j = -35 + -13j + 13j Combine like terms: -13j + 13j = 0 15 + 25j = -35 + 0 15 + 25j = -35 Add '-15' to each side of the equation. 15 + -15 + 25j = -35 + -15 Combine like terms: 15 + -15 = 0 0 + 25j = -35 + -15 25j = -35 + -15 Combine like terms: -35 + -15 = -50 25j = -50 Divide each side by '25'. j = -2 Simplifying j = -2
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