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Simplifying 2(4b + 4) = 8(1 + 7b) Reorder the terms: 2(4 + 4b) = 8(1 + 7b) (4 * 2 + 4b * 2) = 8(1 + 7b) (8 + 8b) = 8(1 + 7b) 8 + 8b = (1 * 8 + 7b * 8) 8 + 8b = (8 + 56b) Add '-8' to each side of the equation. 8 + -8 + 8b = 8 + -8 + 56b Combine like terms: 8 + -8 = 0 0 + 8b = 8 + -8 + 56b 8b = 8 + -8 + 56b Combine like terms: 8 + -8 = 0 8b = 0 + 56b 8b = 56b Solving 8b = 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. 8b + -56b = 56b + -56b Combine like terms: 8b + -56b = -48b -48b = 56b + -56b Combine like terms: 56b + -56b = 0 -48b = 0 Divide each side by '-48'. b = 0 Simplifying b = 0
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