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Simplifying 3j + 7 = 4j + -2 Reorder the terms: 7 + 3j = 4j + -2 Reorder the terms: 7 + 3j = -2 + 4j Solving 7 + 3j = -2 + 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 + 3j + -4j = -2 + 4j + -4j Combine like terms: 3j + -4j = -1j 7 + -1j = -2 + 4j + -4j Combine like terms: 4j + -4j = 0 7 + -1j = -2 + 0 7 + -1j = -2 Add '-7' to each side of the equation. 7 + -7 + -1j = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -1j = -2 + -7 -1j = -2 + -7 Combine like terms: -2 + -7 = -9 -1j = -9 Divide each side by '-1'. j = 9 Simplifying j = 9
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