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Simplifying 2.5(j + 2) = 1.5(1 + j) Reorder the terms: 2.5(2 + j) = 1.5(1 + j) (2 * 2.5 + j * 2.5) = 1.5(1 + j) (5 + 2.5j) = 1.5(1 + j) 5 + 2.5j = (1 * 1.5 + j * 1.5) 5 + 2.5j = (1.5 + 1.5j) Solving 5 + 2.5j = 1.5 + 1.5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1.5j' to each side of the equation. 5 + 2.5j + -1.5j = 1.5 + 1.5j + -1.5j Combine like terms: 2.5j + -1.5j = 1j 5 + 1j = 1.5 + 1.5j + -1.5j Combine like terms: 1.5j + -1.5j = 0.0 5 + 1j = 1.5 + 0.0 5 + 1j = 1.5 Add '-5' to each side of the equation. 5 + -5 + 1j = 1.5 + -5 Combine like terms: 5 + -5 = 0 0 + 1j = 1.5 + -5 1j = 1.5 + -5 Combine like terms: 1.5 + -5 = -3.5 1j = -3.5 Divide each side by '1'. j = -3.5 Simplifying j = -3.5
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