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Simplifying 6b + 40 = -100 + -1b Reorder the terms: 40 + 6b = -100 + -1b Solving 40 + 6b = -100 + -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. 40 + 6b + b = -100 + -1b + b Combine like terms: 6b + b = 7b 40 + 7b = -100 + -1b + b Combine like terms: -1b + b = 0 40 + 7b = -100 + 0 40 + 7b = -100 Add '-40' to each side of the equation. 40 + -40 + 7b = -100 + -40 Combine like terms: 40 + -40 = 0 0 + 7b = -100 + -40 7b = -100 + -40 Combine like terms: -100 + -40 = -140 7b = -140 Divide each side by '7'. b = -20 Simplifying b = -20
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