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Simplifying 0.6b + 0.7 = 0.73b + 0.4 Reorder the terms: 0.7 + 0.6b = 0.73b + 0.4 Reorder the terms: 0.7 + 0.6b = 0.4 + 0.73b Solving 0.7 + 0.6b = 0.4 + 0.73b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.73b' to each side of the equation. 0.7 + 0.6b + -0.73b = 0.4 + 0.73b + -0.73b Combine like terms: 0.6b + -0.73b = -0.13b 0.7 + -0.13b = 0.4 + 0.73b + -0.73b Combine like terms: 0.73b + -0.73b = 0.00 0.7 + -0.13b = 0.4 + 0.00 0.7 + -0.13b = 0.4 Add '-0.7' to each side of the equation. 0.7 + -0.7 + -0.13b = 0.4 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.13b = 0.4 + -0.7 -0.13b = 0.4 + -0.7 Combine like terms: 0.4 + -0.7 = -0.3 -0.13b = -0.3 Divide each side by '-0.13'. b = 2.307692308 Simplifying b = 2.307692308
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