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Simplifying 8.2b + 0.78 = 6.4b + 3.3 Reorder the terms: 0.78 + 8.2b = 6.4b + 3.3 Reorder the terms: 0.78 + 8.2b = 3.3 + 6.4b Solving 0.78 + 8.2b = 3.3 + 6.4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6.4b' to each side of the equation. 0.78 + 8.2b + -6.4b = 3.3 + 6.4b + -6.4b Combine like terms: 8.2b + -6.4b = 1.8b 0.78 + 1.8b = 3.3 + 6.4b + -6.4b Combine like terms: 6.4b + -6.4b = 0.0 0.78 + 1.8b = 3.3 + 0.0 0.78 + 1.8b = 3.3 Add '-0.78' to each side of the equation. 0.78 + -0.78 + 1.8b = 3.3 + -0.78 Combine like terms: 0.78 + -0.78 = 0.00 0.00 + 1.8b = 3.3 + -0.78 1.8b = 3.3 + -0.78 Combine like terms: 3.3 + -0.78 = 2.52 1.8b = 2.52 Divide each side by '1.8'. b = 1.4 Simplifying b = 1.4
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