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Simplifying 10j + -2 = 3j + 12 Reorder the terms: -2 + 10j = 3j + 12 Reorder the terms: -2 + 10j = 12 + 3j Solving -2 + 10j = 12 + 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. -2 + 10j + -3j = 12 + 3j + -3j Combine like terms: 10j + -3j = 7j -2 + 7j = 12 + 3j + -3j Combine like terms: 3j + -3j = 0 -2 + 7j = 12 + 0 -2 + 7j = 12 Add '2' to each side of the equation. -2 + 2 + 7j = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7j = 12 + 2 7j = 12 + 2 Combine like terms: 12 + 2 = 14 7j = 14 Divide each side by '7'. j = 2 Simplifying j = 2
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