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Simplifying 128 = 3b + 4(1 + 7b) 128 = 3b + (1 * 4 + 7b * 4) 128 = 3b + (4 + 28b) Reorder the terms: 128 = 4 + 3b + 28b Combine like terms: 3b + 28b = 31b 128 = 4 + 31b Solving 128 = 4 + 31b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-31b' to each side of the equation. 128 + -31b = 4 + 31b + -31b Combine like terms: 31b + -31b = 0 128 + -31b = 4 + 0 128 + -31b = 4 Add '-128' to each side of the equation. 128 + -128 + -31b = 4 + -128 Combine like terms: 128 + -128 = 0 0 + -31b = 4 + -128 -31b = 4 + -128 Combine like terms: 4 + -128 = -124 -31b = -124 Divide each side by '-31'. b = 4 Simplifying b = 4
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