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Simplifying 4j + 13 = 3j + 21 Reorder the terms: 13 + 4j = 3j + 21 Reorder the terms: 13 + 4j = 21 + 3j Solving 13 + 4j = 21 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. 13 + 4j + -3j = 21 + 3j + -3j Combine like terms: 4j + -3j = 1j 13 + 1j = 21 + 3j + -3j Combine like terms: 3j + -3j = 0 13 + 1j = 21 + 0 13 + 1j = 21 Add '-13' to each side of the equation. 13 + -13 + 1j = 21 + -13 Combine like terms: 13 + -13 = 0 0 + 1j = 21 + -13 1j = 21 + -13 Combine like terms: 21 + -13 = 8 1j = 8 Divide each side by '1'. j = 8 Simplifying j = 8
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