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Simplifying 23 + -3b = -1(1 + -5b) 23 + -3b = (1 * -1 + -5b * -1) 23 + -3b = (-1 + 5b) Solving 23 + -3b = -1 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 23 + -3b + -5b = -1 + 5b + -5b Combine like terms: -3b + -5b = -8b 23 + -8b = -1 + 5b + -5b Combine like terms: 5b + -5b = 0 23 + -8b = -1 + 0 23 + -8b = -1 Add '-23' to each side of the equation. 23 + -23 + -8b = -1 + -23 Combine like terms: 23 + -23 = 0 0 + -8b = -1 + -23 -8b = -1 + -23 Combine like terms: -1 + -23 = -24 -8b = -24 Divide each side by '-8'. b = 3 Simplifying b = 3
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