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Simplifying -7j + 2 = j + -38 Reorder the terms: 2 + -7j = j + -38 Reorder the terms: 2 + -7j = -38 + j Solving 2 + -7j = -38 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. 2 + -7j + -1j = -38 + j + -1j Combine like terms: -7j + -1j = -8j 2 + -8j = -38 + j + -1j Combine like terms: j + -1j = 0 2 + -8j = -38 + 0 2 + -8j = -38 Add '-2' to each side of the equation. 2 + -2 + -8j = -38 + -2 Combine like terms: 2 + -2 = 0 0 + -8j = -38 + -2 -8j = -38 + -2 Combine like terms: -38 + -2 = -40 -8j = -40 Divide each side by '-8'. j = 5 Simplifying j = 5
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