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Simplifying 21j + -12 = 14j + 37 Reorder the terms: -12 + 21j = 14j + 37 Reorder the terms: -12 + 21j = 37 + 14j Solving -12 + 21j = 37 + 14j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-14j' to each side of the equation. -12 + 21j + -14j = 37 + 14j + -14j Combine like terms: 21j + -14j = 7j -12 + 7j = 37 + 14j + -14j Combine like terms: 14j + -14j = 0 -12 + 7j = 37 + 0 -12 + 7j = 37 Add '12' to each side of the equation. -12 + 12 + 7j = 37 + 12 Combine like terms: -12 + 12 = 0 0 + 7j = 37 + 12 7j = 37 + 12 Combine like terms: 37 + 12 = 49 7j = 49 Divide each side by '7'. j = 7 Simplifying j = 7
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