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Simplifying 6j + 7 = -4j + 27 Reorder the terms: 7 + 6j = -4j + 27 Reorder the terms: 7 + 6j = 27 + -4j Solving 7 + 6j = 27 + -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. 7 + 6j + 4j = 27 + -4j + 4j Combine like terms: 6j + 4j = 10j 7 + 10j = 27 + -4j + 4j Combine like terms: -4j + 4j = 0 7 + 10j = 27 + 0 7 + 10j = 27 Add '-7' to each side of the equation. 7 + -7 + 10j = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 10j = 27 + -7 10j = 27 + -7 Combine like terms: 27 + -7 = 20 10j = 20 Divide each side by '10'. j = 2 Simplifying j = 2
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