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Simplifying 2j + -4 + 5j + -5 = 4j + 6 Reorder the terms: -4 + -5 + 2j + 5j = 4j + 6 Combine like terms: -4 + -5 = -9 -9 + 2j + 5j = 4j + 6 Combine like terms: 2j + 5j = 7j -9 + 7j = 4j + 6 Reorder the terms: -9 + 7j = 6 + 4j Solving -9 + 7j = 6 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. -9 + 7j + -4j = 6 + 4j + -4j Combine like terms: 7j + -4j = 3j -9 + 3j = 6 + 4j + -4j Combine like terms: 4j + -4j = 0 -9 + 3j = 6 + 0 -9 + 3j = 6 Add '9' to each side of the equation. -9 + 9 + 3j = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 3j = 6 + 9 3j = 6 + 9 Combine like terms: 6 + 9 = 15 3j = 15 Divide each side by '3'. j = 5 Simplifying j = 5
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