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Simplifying -3j + -15 = -12j + 7j + 13 Reorder the terms: -15 + -3j = -12j + 7j + 13 Reorder the terms: -15 + -3j = 13 + -12j + 7j Combine like terms: -12j + 7j = -5j -15 + -3j = 13 + -5j Solving -15 + -3j = 13 + -5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '5j' to each side of the equation. -15 + -3j + 5j = 13 + -5j + 5j Combine like terms: -3j + 5j = 2j -15 + 2j = 13 + -5j + 5j Combine like terms: -5j + 5j = 0 -15 + 2j = 13 + 0 -15 + 2j = 13 Add '15' to each side of the equation. -15 + 15 + 2j = 13 + 15 Combine like terms: -15 + 15 = 0 0 + 2j = 13 + 15 2j = 13 + 15 Combine like terms: 13 + 15 = 28 2j = 28 Divide each side by '2'. j = 14 Simplifying j = 14
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