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Simplifying 10j + 24 = 8j + 30 Reorder the terms: 24 + 10j = 8j + 30 Reorder the terms: 24 + 10j = 30 + 8j Solving 24 + 10j = 30 + 8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8j' to each side of the equation. 24 + 10j + -8j = 30 + 8j + -8j Combine like terms: 10j + -8j = 2j 24 + 2j = 30 + 8j + -8j Combine like terms: 8j + -8j = 0 24 + 2j = 30 + 0 24 + 2j = 30 Add '-24' to each side of the equation. 24 + -24 + 2j = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 2j = 30 + -24 2j = 30 + -24 Combine like terms: 30 + -24 = 6 2j = 6 Divide each side by '2'. j = 3 Simplifying j = 3
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