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Simplifying 234 = -6(1 + 5b) 234 = (1 * -6 + 5b * -6) 234 = (-6 + -30b) Solving 234 = -6 + -30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30b' to each side of the equation. 234 + 30b = -6 + -30b + 30b Combine like terms: -30b + 30b = 0 234 + 30b = -6 + 0 234 + 30b = -6 Add '-234' to each side of the equation. 234 + -234 + 30b = -6 + -234 Combine like terms: 234 + -234 = 0 0 + 30b = -6 + -234 30b = -6 + -234 Combine like terms: -6 + -234 = -240 30b = -240 Divide each side by '30'. b = -8 Simplifying b = -8
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