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Simplifying 2(b + 4) + b = -6(3 + b) Reorder the terms: 2(4 + b) + b = -6(3 + b) (4 * 2 + b * 2) + b = -6(3 + b) (8 + 2b) + b = -6(3 + b) Combine like terms: 2b + b = 3b 8 + 3b = -6(3 + b) 8 + 3b = (3 * -6 + b * -6) 8 + 3b = (-18 + -6b) Solving 8 + 3b = -18 + -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. 8 + 3b + 6b = -18 + -6b + 6b Combine like terms: 3b + 6b = 9b 8 + 9b = -18 + -6b + 6b Combine like terms: -6b + 6b = 0 8 + 9b = -18 + 0 8 + 9b = -18 Add '-8' to each side of the equation. 8 + -8 + 9b = -18 + -8 Combine like terms: 8 + -8 = 0 0 + 9b = -18 + -8 9b = -18 + -8 Combine like terms: -18 + -8 = -26 9b = -26 Divide each side by '9'. b = -2.888888889 Simplifying b = -2.888888889
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