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Simplifying -6j + 7j + 10 = 8j + -10 Reorder the terms: 10 + -6j + 7j = 8j + -10 Combine like terms: -6j + 7j = 1j 10 + 1j = 8j + -10 Reorder the terms: 10 + 1j = -10 + 8j Solving 10 + 1j = -10 + 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. 10 + 1j + -8j = -10 + 8j + -8j Combine like terms: 1j + -8j = -7j 10 + -7j = -10 + 8j + -8j Combine like terms: 8j + -8j = 0 10 + -7j = -10 + 0 10 + -7j = -10 Add '-10' to each side of the equation. 10 + -10 + -7j = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -7j = -10 + -10 -7j = -10 + -10 Combine like terms: -10 + -10 = -20 -7j = -20 Divide each side by '-7'. j = 2.857142857 Simplifying j = 2.857142857
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