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Simplifying 0.04b + 13 = 0.4b + -8.6 Reorder the terms: 13 + 0.04b = 0.4b + -8.6 Reorder the terms: 13 + 0.04b = -8.6 + 0.4b Solving 13 + 0.04b = -8.6 + 0.4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.4b' to each side of the equation. 13 + 0.04b + -0.4b = -8.6 + 0.4b + -0.4b Combine like terms: 0.04b + -0.4b = -0.36b 13 + -0.36b = -8.6 + 0.4b + -0.4b Combine like terms: 0.4b + -0.4b = 0.0 13 + -0.36b = -8.6 + 0.0 13 + -0.36b = -8.6 Add '-13' to each side of the equation. 13 + -13 + -0.36b = -8.6 + -13 Combine like terms: 13 + -13 = 0 0 + -0.36b = -8.6 + -13 -0.36b = -8.6 + -13 Combine like terms: -8.6 + -13 = -21.6 -0.36b = -21.6 Divide each side by '-0.36'. b = 60 Simplifying b = 60
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