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Simplifying 0.3b + 6 = 0.25b + 8 Reorder the terms: 6 + 0.3b = 0.25b + 8 Reorder the terms: 6 + 0.3b = 8 + 0.25b Solving 6 + 0.3b = 8 + 0.25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.25b' to each side of the equation. 6 + 0.3b + -0.25b = 8 + 0.25b + -0.25b Combine like terms: 0.3b + -0.25b = 0.05b 6 + 0.05b = 8 + 0.25b + -0.25b Combine like terms: 0.25b + -0.25b = 0.00 6 + 0.05b = 8 + 0.00 6 + 0.05b = 8 Add '-6' to each side of the equation. 6 + -6 + 0.05b = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 0.05b = 8 + -6 0.05b = 8 + -6 Combine like terms: 8 + -6 = 2 0.05b = 2 Divide each side by '0.05'. b = 40 Simplifying b = 40
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