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Simplifying -6j + 7 = 8j + -16j + -13 Reorder the terms: 7 + -6j = 8j + -16j + -13 Reorder the terms: 7 + -6j = -13 + 8j + -16j Combine like terms: 8j + -16j = -8j 7 + -6j = -13 + -8j Solving 7 + -6j = -13 + -8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '8j' to each side of the equation. 7 + -6j + 8j = -13 + -8j + 8j Combine like terms: -6j + 8j = 2j 7 + 2j = -13 + -8j + 8j Combine like terms: -8j + 8j = 0 7 + 2j = -13 + 0 7 + 2j = -13 Add '-7' to each side of the equation. 7 + -7 + 2j = -13 + -7 Combine like terms: 7 + -7 = 0 0 + 2j = -13 + -7 2j = -13 + -7 Combine like terms: -13 + -7 = -20 2j = -20 Divide each side by '2'. j = -10 Simplifying j = -10
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