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Simplifying -6(4 + -3b) = 31 + 7b (4 * -6 + -3b * -6) = 31 + 7b (-24 + 18b) = 31 + 7b Solving -24 + 18b = 31 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -24 + 18b + -7b = 31 + 7b + -7b Combine like terms: 18b + -7b = 11b -24 + 11b = 31 + 7b + -7b Combine like terms: 7b + -7b = 0 -24 + 11b = 31 + 0 -24 + 11b = 31 Add '24' to each side of the equation. -24 + 24 + 11b = 31 + 24 Combine like terms: -24 + 24 = 0 0 + 11b = 31 + 24 11b = 31 + 24 Combine like terms: 31 + 24 = 55 11b = 55 Divide each side by '11'. b = 5 Simplifying b = 5
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