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Simplifying 7b + -5(-8 + -7b) = -1 + b 7b + (-8 * -5 + -7b * -5) = -1 + b 7b + (40 + 35b) = -1 + b Reorder the terms: 40 + 7b + 35b = -1 + b Combine like terms: 7b + 35b = 42b 40 + 42b = -1 + b Solving 40 + 42b = -1 + 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. 40 + 42b + -1b = -1 + b + -1b Combine like terms: 42b + -1b = 41b 40 + 41b = -1 + b + -1b Combine like terms: b + -1b = 0 40 + 41b = -1 + 0 40 + 41b = -1 Add '-40' to each side of the equation. 40 + -40 + 41b = -1 + -40 Combine like terms: 40 + -40 = 0 0 + 41b = -1 + -40 41b = -1 + -40 Combine like terms: -1 + -40 = -41 41b = -41 Divide each side by '41'. b = -1 Simplifying b = -1
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