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Simplifying 3j + -2j + 8 = 2j + 1 Reorder the terms: 8 + 3j + -2j = 2j + 1 Combine like terms: 3j + -2j = 1j 8 + 1j = 2j + 1 Reorder the terms: 8 + 1j = 1 + 2j Solving 8 + 1j = 1 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. 8 + 1j + -2j = 1 + 2j + -2j Combine like terms: 1j + -2j = -1j 8 + -1j = 1 + 2j + -2j Combine like terms: 2j + -2j = 0 8 + -1j = 1 + 0 8 + -1j = 1 Add '-8' to each side of the equation. 8 + -8 + -1j = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -1j = 1 + -8 -1j = 1 + -8 Combine like terms: 1 + -8 = -7 -1j = -7 Divide each side by '-1'. j = 7 Simplifying j = 7
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