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Simplifying 3j + -2 + 4j + 7 + 5j = 2j(7 + -2) + -3j + -13 Reorder the terms: -2 + 7 + 3j + 4j + 5j = 2j(7 + -2) + -3j + -13 Combine like terms: -2 + 7 = 5 5 + 3j + 4j + 5j = 2j(7 + -2) + -3j + -13 Combine like terms: 3j + 4j = 7j 5 + 7j + 5j = 2j(7 + -2) + -3j + -13 Combine like terms: 7j + 5j = 12j 5 + 12j = 2j(7 + -2) + -3j + -13 Combine like terms: 7 + -2 = 5 5 + 12j = 2j(5) + -3j + -13 Reorder the terms for easier multiplication: 5 + 12j = 2 * 5j + -3j + -13 Multiply 2 * 5 5 + 12j = 10j + -3j + -13 Reorder the terms: 5 + 12j = -13 + 10j + -3j Combine like terms: 10j + -3j = 7j 5 + 12j = -13 + 7j Solving 5 + 12j = -13 + 7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7j' to each side of the equation. 5 + 12j + -7j = -13 + 7j + -7j Combine like terms: 12j + -7j = 5j 5 + 5j = -13 + 7j + -7j Combine like terms: 7j + -7j = 0 5 + 5j = -13 + 0 5 + 5j = -13 Add '-5' to each side of the equation. 5 + -5 + 5j = -13 + -5 Combine like terms: 5 + -5 = 0 0 + 5j = -13 + -5 5j = -13 + -5 Combine like terms: -13 + -5 = -18 5j = -18 Divide each side by '5'. j = -3.6 Simplifying j = -3.6
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