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Simplifying 2.3(b + 4) = 9.77 + -2b Reorder the terms: 2.3(4 + b) = 9.77 + -2b (4 * 2.3 + b * 2.3) = 9.77 + -2b (9.2 + 2.3b) = 9.77 + -2b Solving 9.2 + 2.3b = 9.77 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 9.2 + 2.3b + 2b = 9.77 + -2b + 2b Combine like terms: 2.3b + 2b = 4.3b 9.2 + 4.3b = 9.77 + -2b + 2b Combine like terms: -2b + 2b = 0 9.2 + 4.3b = 9.77 + 0 9.2 + 4.3b = 9.77 Add '-9.2' to each side of the equation. 9.2 + -9.2 + 4.3b = 9.77 + -9.2 Combine like terms: 9.2 + -9.2 = 0.0 0.0 + 4.3b = 9.77 + -9.2 4.3b = 9.77 + -9.2 Combine like terms: 9.77 + -9.2 = 0.57 4.3b = 0.57 Divide each side by '4.3'. b = 0.1325581395 Simplifying b = 0.1325581395
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