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Simplifying 6 + 5(b + 7) = -1b Reorder the terms: 6 + 5(7 + b) = -1b 6 + (7 * 5 + b * 5) = -1b 6 + (35 + 5b) = -1b Combine like terms: 6 + 35 = 41 41 + 5b = -1b Solving 41 + 5b = -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 41 + 5b + b = -1b + b Combine like terms: 5b + b = 6b 41 + 6b = -1b + b Combine like terms: -1b + b = 0 41 + 6b = 0 Add '-41' to each side of the equation. 41 + -41 + 6b = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 6b = 0 + -41 6b = 0 + -41 Combine like terms: 0 + -41 = -41 6b = -41 Divide each side by '6'. b = -6.833333333 Simplifying b = -6.833333333
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