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Simplifying 3(b + 1) = (b + -5) Reorder the terms: 3(1 + b) = (b + -5) (1 * 3 + b * 3) = (b + -5) (3 + 3b) = (b + -5) Reorder the terms: 3 + 3b = (-5 + b) Remove parenthesis around (-5 + b) 3 + 3b = -5 + b Solving 3 + 3b = -5 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 3 + 3b + -1b = -5 + b + -1b Combine like terms: 3b + -1b = 2b 3 + 2b = -5 + b + -1b Combine like terms: b + -1b = 0 3 + 2b = -5 + 0 3 + 2b = -5 Add '-3' to each side of the equation. 3 + -3 + 2b = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = -5 + -3 2b = -5 + -3 Combine like terms: -5 + -3 = -8 2b = -8 Divide each side by '2'. b = -4 Simplifying b = -4
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