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