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Simplifying 2(3b + 6) = 8b + -11 Reorder the terms: 2(6 + 3b) = 8b + -11 (6 * 2 + 3b * 2) = 8b + -11 (12 + 6b) = 8b + -11 Reorder the terms: 12 + 6b = -11 + 8b Solving 12 + 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. 12 + 6b + -8b = -11 + 8b + -8b Combine like terms: 6b + -8b = -2b 12 + -2b = -11 + 8b + -8b Combine like terms: 8b + -8b = 0 12 + -2b = -11 + 0 12 + -2b = -11 Add '-12' to each side of the equation. 12 + -12 + -2b = -11 + -12 Combine like terms: 12 + -12 = 0 0 + -2b = -11 + -12 -2b = -11 + -12 Combine like terms: -11 + -12 = -23 -2b = -23 Divide each side by '-2'. b = 11.5 Simplifying b = 11.5
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