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Simplifying 538j + 53(-5b + 12y) = 9 538j + (-5b * 53 + 12y * 53) = 9 538j + (-265b + 636y) = 9 Reorder the terms: -265b + 538j + 636y = 9 Solving -265b + 538j + 636y = 9 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-538j' to each side of the equation. -265b + 538j + -538j + 636y = 9 + -538j Combine like terms: 538j + -538j = 0 -265b + 0 + 636y = 9 + -538j -265b + 636y = 9 + -538j Add '-636y' to each side of the equation. -265b + 636y + -636y = 9 + -538j + -636y Combine like terms: 636y + -636y = 0 -265b + 0 = 9 + -538j + -636y -265b = 9 + -538j + -636y Divide each side by '-265'. b = -0.03396226415 + 2.030188679j + 2.4y Simplifying b = -0.03396226415 + 2.030188679j + 2.4y
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