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Simplifying 66.6(6j + 9) = 3j + 7 Reorder the terms: 66.6(9 + 6j) = 3j + 7 (9 * 66.6 + 6j * 66.6) = 3j + 7 (599.4 + 399.6j) = 3j + 7 Reorder the terms: 599.4 + 399.6j = 7 + 3j Solving 599.4 + 399.6j = 7 + 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. 599.4 + 399.6j + -3j = 7 + 3j + -3j Combine like terms: 399.6j + -3j = 396.6j 599.4 + 396.6j = 7 + 3j + -3j Combine like terms: 3j + -3j = 0 599.4 + 396.6j = 7 + 0 599.4 + 396.6j = 7 Add '-599.4' to each side of the equation. 599.4 + -599.4 + 396.6j = 7 + -599.4 Combine like terms: 599.4 + -599.4 = 0.0 0.0 + 396.6j = 7 + -599.4 396.6j = 7 + -599.4 Combine like terms: 7 + -599.4 = -592.4 396.6j = -592.4 Divide each side by '396.6'. j = -1.49369642 Simplifying j = -1.49369642
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