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Simplifying 6 = -8(b + 4) Reorder the terms: 6 = -8(4 + b) 6 = (4 * -8 + b * -8) 6 = (-32 + -8b) Solving 6 = -32 + -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. 6 + 8b = -32 + -8b + 8b Combine like terms: -8b + 8b = 0 6 + 8b = -32 + 0 6 + 8b = -32 Add '-6' to each side of the equation. 6 + -6 + 8b = -32 + -6 Combine like terms: 6 + -6 = 0 0 + 8b = -32 + -6 8b = -32 + -6 Combine like terms: -32 + -6 = -38 8b = -38 Divide each side by '8'. b = -4.75 Simplifying b = -4.75
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