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Simplifying 10j + 14 = 8j + 18 Reorder the terms: 14 + 10j = 8j + 18 Reorder the terms: 14 + 10j = 18 + 8j Solving 14 + 10j = 18 + 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. 14 + 10j + -8j = 18 + 8j + -8j Combine like terms: 10j + -8j = 2j 14 + 2j = 18 + 8j + -8j Combine like terms: 8j + -8j = 0 14 + 2j = 18 + 0 14 + 2j = 18 Add '-14' to each side of the equation. 14 + -14 + 2j = 18 + -14 Combine like terms: 14 + -14 = 0 0 + 2j = 18 + -14 2j = 18 + -14 Combine like terms: 18 + -14 = 4 2j = 4 Divide each side by '2'. j = 2 Simplifying j = 2
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