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Simplifying 4(5j + 2) = 2(3j + -6) Reorder the terms: 4(2 + 5j) = 2(3j + -6) (2 * 4 + 5j * 4) = 2(3j + -6) (8 + 20j) = 2(3j + -6) Reorder the terms: 8 + 20j = 2(-6 + 3j) 8 + 20j = (-6 * 2 + 3j * 2) 8 + 20j = (-12 + 6j) Solving 8 + 20j = -12 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. 8 + 20j + -6j = -12 + 6j + -6j Combine like terms: 20j + -6j = 14j 8 + 14j = -12 + 6j + -6j Combine like terms: 6j + -6j = 0 8 + 14j = -12 + 0 8 + 14j = -12 Add '-8' to each side of the equation. 8 + -8 + 14j = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 14j = -12 + -8 14j = -12 + -8 Combine like terms: -12 + -8 = -20 14j = -20 Divide each side by '14'. j = -1.428571429 Simplifying j = -1.428571429
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