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Simplifying 3.5j = -3(1 + -1(j + -3)) Reorder the terms: 3.5j = -3(1 + -1(-3 + j)) 3.5j = -3(1 + (-3 * -1 + j * -1)) 3.5j = -3(1 + (3 + -1j)) Combine like terms: 1 + 3 = 4 3.5j = -3(4 + -1j) 3.5j = (4 * -3 + -1j * -3) 3.5j = (-12 + 3j) Solving 3.5j = -12 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. 3.5j + -3j = -12 + 3j + -3j Combine like terms: 3.5j + -3j = 0.5j 0.5j = -12 + 3j + -3j Combine like terms: 3j + -3j = 0 0.5j = -12 + 0 0.5j = -12 Divide each side by '0.5'. j = -24 Simplifying j = -24
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