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Simplifying -4(1 + -7b) + -8b = 20 + 8b (1 * -4 + -7b * -4) + -8b = 20 + 8b (-4 + 28b) + -8b = 20 + 8b Combine like terms: 28b + -8b = 20b -4 + 20b = 20 + 8b Solving -4 + 20b = 20 + 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. -4 + 20b + -8b = 20 + 8b + -8b Combine like terms: 20b + -8b = 12b -4 + 12b = 20 + 8b + -8b Combine like terms: 8b + -8b = 0 -4 + 12b = 20 + 0 -4 + 12b = 20 Add '4' to each side of the equation. -4 + 4 + 12b = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 12b = 20 + 4 12b = 20 + 4 Combine like terms: 20 + 4 = 24 12b = 24 Divide each side by '12'. b = 2 Simplifying b = 2
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