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Simplifying 0.04b + 13 = 0.4 + -8.6 Reorder the terms: 13 + 0.04b = 0.4 + -8.6 Combine like terms: 0.4 + -8.6 = -8.2 13 + 0.04b = -8.2 Solving 13 + 0.04b = -8.2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 0.04b = -8.2 + -13 Combine like terms: 13 + -13 = 0 0 + 0.04b = -8.2 + -13 0.04b = -8.2 + -13 Combine like terms: -8.2 + -13 = -21.2 0.04b = -21.2 Divide each side by '0.04'. b = -530 Simplifying b = -530
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