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Simplifying 2(b + 4) + 3 = 6b + -11 Reorder the terms: 2(4 + b) + 3 = 6b + -11 (4 * 2 + b * 2) + 3 = 6b + -11 (8 + 2b) + 3 = 6b + -11 Reorder the terms: 8 + 3 + 2b = 6b + -11 Combine like terms: 8 + 3 = 11 11 + 2b = 6b + -11 Reorder the terms: 11 + 2b = -11 + 6b Solving 11 + 2b = -11 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 11 + 2b + -6b = -11 + 6b + -6b Combine like terms: 2b + -6b = -4b 11 + -4b = -11 + 6b + -6b Combine like terms: 6b + -6b = 0 11 + -4b = -11 + 0 11 + -4b = -11 Add '-11' to each side of the equation. 11 + -11 + -4b = -11 + -11 Combine like terms: 11 + -11 = 0 0 + -4b = -11 + -11 -4b = -11 + -11 Combine like terms: -11 + -11 = -22 -4b = -22 Divide each side by '-4'. b = 5.5 Simplifying b = 5.5
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