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Simplifying 4(j + 2) + 3j = 10j + -1j Reorder the terms: 4(2 + j) + 3j = 10j + -1j (2 * 4 + j * 4) + 3j = 10j + -1j (8 + 4j) + 3j = 10j + -1j Combine like terms: 4j + 3j = 7j 8 + 7j = 10j + -1j Combine like terms: 10j + -1j = 9j 8 + 7j = 9j Solving 8 + 7j = 9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9j' to each side of the equation. 8 + 7j + -9j = 9j + -9j Combine like terms: 7j + -9j = -2j 8 + -2j = 9j + -9j Combine like terms: 9j + -9j = 0 8 + -2j = 0 Add '-8' to each side of the equation. 8 + -8 + -2j = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2j = 0 + -8 -2j = 0 + -8 Combine like terms: 0 + -8 = -8 -2j = -8 Divide each side by '-2'. j = 4 Simplifying j = 4
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