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Simplifying -8(1 + -8b) = 8(3b + 4) (1 * -8 + -8b * -8) = 8(3b + 4) (-8 + 64b) = 8(3b + 4) Reorder the terms: -8 + 64b = 8(4 + 3b) -8 + 64b = (4 * 8 + 3b * 8) -8 + 64b = (32 + 24b) Solving -8 + 64b = 32 + 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. -8 + 64b + -24b = 32 + 24b + -24b Combine like terms: 64b + -24b = 40b -8 + 40b = 32 + 24b + -24b Combine like terms: 24b + -24b = 0 -8 + 40b = 32 + 0 -8 + 40b = 32 Add '8' to each side of the equation. -8 + 8 + 40b = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 40b = 32 + 8 40b = 32 + 8 Combine like terms: 32 + 8 = 40 40b = 40 Divide each side by '40'. b = 1 Simplifying b = 1
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