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Simplifying 5l + 8c + 9j + 8b + 5u + 4b = 0 Reorder the terms: 8b + 4b + 8c + 9j + 5l + 5u = 0 Combine like terms: 8b + 4b = 12b 12b + 8c + 9j + 5l + 5u = 0 Solving 12b + 8c + 9j + 5l + 5u = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8c' to each side of the equation. 12b + 8c + 9j + 5l + -8c + 5u = 0 + -8c Reorder the terms: 12b + 8c + -8c + 9j + 5l + 5u = 0 + -8c Combine like terms: 8c + -8c = 0 12b + 0 + 9j + 5l + 5u = 0 + -8c 12b + 9j + 5l + 5u = 0 + -8c Remove the zero: 12b + 9j + 5l + 5u = -8c Add '-9j' to each side of the equation. 12b + 9j + 5l + -9j + 5u = -8c + -9j Reorder the terms: 12b + 9j + -9j + 5l + 5u = -8c + -9j Combine like terms: 9j + -9j = 0 12b + 0 + 5l + 5u = -8c + -9j 12b + 5l + 5u = -8c + -9j Add '-5l' to each side of the equation. 12b + 5l + -5l + 5u = -8c + -9j + -5l Combine like terms: 5l + -5l = 0 12b + 0 + 5u = -8c + -9j + -5l 12b + 5u = -8c + -9j + -5l Add '-5u' to each side of the equation. 12b + 5u + -5u = -8c + -9j + -5l + -5u Combine like terms: 5u + -5u = 0 12b + 0 = -8c + -9j + -5l + -5u 12b = -8c + -9j + -5l + -5u Divide each side by '12'. b = -0.6666666667c + -0.75j + -0.4166666667l + -0.4166666667u Simplifying b = -0.6666666667c + -0.75j + -0.4166666667l + -0.4166666667u
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