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Simplifying 7(0.5j + -3) = 7 Reorder the terms: 7(-3 + 0.5j) = 7 (-3 * 7 + 0.5j * 7) = 7 (-21 + 3.5j) = 7 Solving -21 + 3.5j = 7 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 3.5j = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 3.5j = 7 + 21 3.5j = 7 + 21 Combine like terms: 7 + 21 = 28 3.5j = 28 Divide each side by '3.5'. j = 8 Simplifying j = 8
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