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Simplifying 5j + 49 + -8j = 6j + -14 Reorder the terms: 49 + 5j + -8j = 6j + -14 Combine like terms: 5j + -8j = -3j 49 + -3j = 6j + -14 Reorder the terms: 49 + -3j = -14 + 6j Solving 49 + -3j = -14 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. 49 + -3j + -6j = -14 + 6j + -6j Combine like terms: -3j + -6j = -9j 49 + -9j = -14 + 6j + -6j Combine like terms: 6j + -6j = 0 49 + -9j = -14 + 0 49 + -9j = -14 Add '-49' to each side of the equation. 49 + -49 + -9j = -14 + -49 Combine like terms: 49 + -49 = 0 0 + -9j = -14 + -49 -9j = -14 + -49 Combine like terms: -14 + -49 = -63 -9j = -63 Divide each side by '-9'. j = 7 Simplifying j = 7
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