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Simplifying 9j + 18 = 12j + -6 Reorder the terms: 18 + 9j = 12j + -6 Reorder the terms: 18 + 9j = -6 + 12j Solving 18 + 9j = -6 + 12j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12j' to each side of the equation. 18 + 9j + -12j = -6 + 12j + -12j Combine like terms: 9j + -12j = -3j 18 + -3j = -6 + 12j + -12j Combine like terms: 12j + -12j = 0 18 + -3j = -6 + 0 18 + -3j = -6 Add '-18' to each side of the equation. 18 + -18 + -3j = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -3j = -6 + -18 -3j = -6 + -18 Combine like terms: -6 + -18 = -24 -3j = -24 Divide each side by '-3'. j = 8 Simplifying j = 8
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