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Simplifying -6b + 31 = 5 + -8(7b + 3) Reorder the terms: 31 + -6b = 5 + -8(7b + 3) Reorder the terms: 31 + -6b = 5 + -8(3 + 7b) 31 + -6b = 5 + (3 * -8 + 7b * -8) 31 + -6b = 5 + (-24 + -56b) Combine like terms: 5 + -24 = -19 31 + -6b = -19 + -56b Solving 31 + -6b = -19 + -56b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '56b' to each side of the equation. 31 + -6b + 56b = -19 + -56b + 56b Combine like terms: -6b + 56b = 50b 31 + 50b = -19 + -56b + 56b Combine like terms: -56b + 56b = 0 31 + 50b = -19 + 0 31 + 50b = -19 Add '-31' to each side of the equation. 31 + -31 + 50b = -19 + -31 Combine like terms: 31 + -31 = 0 0 + 50b = -19 + -31 50b = -19 + -31 Combine like terms: -19 + -31 = -50 50b = -50 Divide each side by '50'. b = -1 Simplifying b = -1
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