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Simplifying (6b + 1) = 4(b + -5) + -2 Reorder the terms: (1 + 6b) = 4(b + -5) + -2 Remove parenthesis around (1 + 6b) 1 + 6b = 4(b + -5) + -2 Reorder the terms: 1 + 6b = 4(-5 + b) + -2 1 + 6b = (-5 * 4 + b * 4) + -2 1 + 6b = (-20 + 4b) + -2 Reorder the terms: 1 + 6b = -20 + -2 + 4b Combine like terms: -20 + -2 = -22 1 + 6b = -22 + 4b Solving 1 + 6b = -22 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 1 + 6b + -4b = -22 + 4b + -4b Combine like terms: 6b + -4b = 2b 1 + 2b = -22 + 4b + -4b Combine like terms: 4b + -4b = 0 1 + 2b = -22 + 0 1 + 2b = -22 Add '-1' to each side of the equation. 1 + -1 + 2b = -22 + -1 Combine like terms: 1 + -1 = 0 0 + 2b = -22 + -1 2b = -22 + -1 Combine like terms: -22 + -1 = -23 2b = -23 Divide each side by '2'. b = -11.5 Simplifying b = -11.5
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