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Simplifying 10j + 40 = -4j + 12 Reorder the terms: 40 + 10j = -4j + 12 Reorder the terms: 40 + 10j = 12 + -4j Solving 40 + 10j = 12 + -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. 40 + 10j + 4j = 12 + -4j + 4j Combine like terms: 10j + 4j = 14j 40 + 14j = 12 + -4j + 4j Combine like terms: -4j + 4j = 0 40 + 14j = 12 + 0 40 + 14j = 12 Add '-40' to each side of the equation. 40 + -40 + 14j = 12 + -40 Combine like terms: 40 + -40 = 0 0 + 14j = 12 + -40 14j = 12 + -40 Combine like terms: 12 + -40 = -28 14j = -28 Divide each side by '14'. j = -2 Simplifying j = -2
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