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Simplifying 0.3(b + 6) = 0.25b + 8 Reorder the terms: 0.3(6 + b) = 0.25b + 8 (6 * 0.3 + b * 0.3) = 0.25b + 8 (1.8 + 0.3b) = 0.25b + 8 Reorder the terms: 1.8 + 0.3b = 8 + 0.25b Solving 1.8 + 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. 1.8 + 0.3b + -0.25b = 8 + 0.25b + -0.25b Combine like terms: 0.3b + -0.25b = 0.05b 1.8 + 0.05b = 8 + 0.25b + -0.25b Combine like terms: 0.25b + -0.25b = 0.00 1.8 + 0.05b = 8 + 0.00 1.8 + 0.05b = 8 Add '-1.8' to each side of the equation. 1.8 + -1.8 + 0.05b = 8 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 0.05b = 8 + -1.8 0.05b = 8 + -1.8 Combine like terms: 8 + -1.8 = 6.2 0.05b = 6.2 Divide each side by '0.05'. b = 124 Simplifying b = 124
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