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Simplifying 7(b + 1) = (b + -2) Reorder the terms: 7(1 + b) = (b + -2) (1 * 7 + b * 7) = (b + -2) (7 + 7b) = (b + -2) Reorder the terms: 7 + 7b = (-2 + b) Remove parenthesis around (-2 + b) 7 + 7b = -2 + b Solving 7 + 7b = -2 + 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. 7 + 7b + -1b = -2 + b + -1b Combine like terms: 7b + -1b = 6b 7 + 6b = -2 + b + -1b Combine like terms: b + -1b = 0 7 + 6b = -2 + 0 7 + 6b = -2 Add '-7' to each side of the equation. 7 + -7 + 6b = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 6b = -2 + -7 6b = -2 + -7 Combine like terms: -2 + -7 = -9 6b = -9 Divide each side by '6'. b = -1.5 Simplifying b = -1.5
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