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Simplifying 3j + -7 + 8 = -6j + -8 Reorder the terms: -7 + 8 + 3j = -6j + -8 Combine like terms: -7 + 8 = 1 1 + 3j = -6j + -8 Reorder the terms: 1 + 3j = -8 + -6j Solving 1 + 3j = -8 + -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. 1 + 3j + 6j = -8 + -6j + 6j Combine like terms: 3j + 6j = 9j 1 + 9j = -8 + -6j + 6j Combine like terms: -6j + 6j = 0 1 + 9j = -8 + 0 1 + 9j = -8 Add '-1' to each side of the equation. 1 + -1 + 9j = -8 + -1 Combine like terms: 1 + -1 = 0 0 + 9j = -8 + -1 9j = -8 + -1 Combine like terms: -8 + -1 = -9 9j = -9 Divide each side by '9'. j = -1 Simplifying j = -1
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