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Simplifying 2(7b + -4) + -3 = 31 + 8b Reorder the terms: 2(-4 + 7b) + -3 = 31 + 8b (-4 * 2 + 7b * 2) + -3 = 31 + 8b (-8 + 14b) + -3 = 31 + 8b Reorder the terms: -8 + -3 + 14b = 31 + 8b Combine like terms: -8 + -3 = -11 -11 + 14b = 31 + 8b Solving -11 + 14b = 31 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -11 + 14b + -8b = 31 + 8b + -8b Combine like terms: 14b + -8b = 6b -11 + 6b = 31 + 8b + -8b Combine like terms: 8b + -8b = 0 -11 + 6b = 31 + 0 -11 + 6b = 31 Add '11' to each side of the equation. -11 + 11 + 6b = 31 + 11 Combine like terms: -11 + 11 = 0 0 + 6b = 31 + 11 6b = 31 + 11 Combine like terms: 31 + 11 = 42 6b = 42 Divide each side by '6'. b = 7 Simplifying b = 7
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