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Simplifying 2(3b + 4) = 8b + -11 Reorder the terms: 2(4 + 3b) = 8b + -11 (4 * 2 + 3b * 2) = 8b + -11 (8 + 6b) = 8b + -11 Reorder the terms: 8 + 6b = -11 + 8b Solving 8 + 6b = -11 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 8 + 6b + -8b = -11 + 8b + -8b Combine like terms: 6b + -8b = -2b 8 + -2b = -11 + 8b + -8b Combine like terms: 8b + -8b = 0 8 + -2b = -11 + 0 8 + -2b = -11 Add '-8' to each side of the equation. 8 + -8 + -2b = -11 + -8 Combine like terms: 8 + -8 = 0 0 + -2b = -11 + -8 -2b = -11 + -8 Combine like terms: -11 + -8 = -19 -2b = -19 Divide each side by '-2'. b = 9.5 Simplifying b = 9.5
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