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Simplifying 6(7b + 4) + -1(b + -7) = 8b + 2b Reorder the terms: 6(4 + 7b) + -1(b + -7) = 8b + 2b (4 * 6 + 7b * 6) + -1(b + -7) = 8b + 2b (24 + 42b) + -1(b + -7) = 8b + 2b Reorder the terms: 24 + 42b + -1(-7 + b) = 8b + 2b 24 + 42b + (-7 * -1 + b * -1) = 8b + 2b 24 + 42b + (7 + -1b) = 8b + 2b Reorder the terms: 24 + 7 + 42b + -1b = 8b + 2b Combine like terms: 24 + 7 = 31 31 + 42b + -1b = 8b + 2b Combine like terms: 42b + -1b = 41b 31 + 41b = 8b + 2b Combine like terms: 8b + 2b = 10b 31 + 41b = 10b Solving 31 + 41b = 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. 31 + 41b + -10b = 10b + -10b Combine like terms: 41b + -10b = 31b 31 + 31b = 10b + -10b Combine like terms: 10b + -10b = 0 31 + 31b = 0 Add '-31' to each side of the equation. 31 + -31 + 31b = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 31b = 0 + -31 31b = 0 + -31 Combine like terms: 0 + -31 = -31 31b = -31 Divide each side by '31'. b = -1 Simplifying b = -1
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