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Simplifying 4j + -3 = 2j + 12 Reorder the terms: -3 + 4j = 2j + 12 Reorder the terms: -3 + 4j = 12 + 2j Solving -3 + 4j = 12 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. -3 + 4j + -2j = 12 + 2j + -2j Combine like terms: 4j + -2j = 2j -3 + 2j = 12 + 2j + -2j Combine like terms: 2j + -2j = 0 -3 + 2j = 12 + 0 -3 + 2j = 12 Add '3' to each side of the equation. -3 + 3 + 2j = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 2j = 12 + 3 2j = 12 + 3 Combine like terms: 12 + 3 = 15 2j = 15 Divide each side by '2'. j = 7.5 Simplifying j = 7.5
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