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Simplifying 2.5j + 15 = 12j + -13 Reorder the terms: 15 + 2.5j = 12j + -13 Reorder the terms: 15 + 2.5j = -13 + 12j Solving 15 + 2.5j = -13 + 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. 15 + 2.5j + -12j = -13 + 12j + -12j Combine like terms: 2.5j + -12j = -9.5j 15 + -9.5j = -13 + 12j + -12j Combine like terms: 12j + -12j = 0 15 + -9.5j = -13 + 0 15 + -9.5j = -13 Add '-15' to each side of the equation. 15 + -15 + -9.5j = -13 + -15 Combine like terms: 15 + -15 = 0 0 + -9.5j = -13 + -15 -9.5j = -13 + -15 Combine like terms: -13 + -15 = -28 -9.5j = -28 Divide each side by '-9.5'. j = 2.947368421 Simplifying j = 2.947368421
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