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Simplifying 5(b + 1) = -5(1 + -2b) Reorder the terms: 5(1 + b) = -5(1 + -2b) (1 * 5 + b * 5) = -5(1 + -2b) (5 + 5b) = -5(1 + -2b) 5 + 5b = (1 * -5 + -2b * -5) 5 + 5b = (-5 + 10b) Solving 5 + 5b = -5 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 5 + 5b + -10b = -5 + 10b + -10b Combine like terms: 5b + -10b = -5b 5 + -5b = -5 + 10b + -10b Combine like terms: 10b + -10b = 0 5 + -5b = -5 + 0 5 + -5b = -5 Add '-5' to each side of the equation. 5 + -5 + -5b = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -5b = -5 + -5 -5b = -5 + -5 Combine like terms: -5 + -5 = -10 -5b = -10 Divide each side by '-5'. b = 2 Simplifying b = 2
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