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Simplifying 3(4j + -3) + 8 = -1 + 12 Reorder the terms: 3(-3 + 4j) + 8 = -1 + 12 (-3 * 3 + 4j * 3) + 8 = -1 + 12 (-9 + 12j) + 8 = -1 + 12 Reorder the terms: -9 + 8 + 12j = -1 + 12 Combine like terms: -9 + 8 = -1 -1 + 12j = -1 + 12 Combine like terms: -1 + 12 = 11 -1 + 12j = 11 Solving -1 + 12j = 11 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 12j = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 12j = 11 + 1 12j = 11 + 1 Combine like terms: 11 + 1 = 12 12j = 12 Divide each side by '12'. j = 1 Simplifying j = 1
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