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Simplifying 8(b + -4) = 4 + -1b Reorder the terms: 8(-4 + b) = 4 + -1b (-4 * 8 + b * 8) = 4 + -1b (-32 + 8b) = 4 + -1b Solving -32 + 8b = 4 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -32 + 8b + b = 4 + -1b + b Combine like terms: 8b + b = 9b -32 + 9b = 4 + -1b + b Combine like terms: -1b + b = 0 -32 + 9b = 4 + 0 -32 + 9b = 4 Add '32' to each side of the equation. -32 + 32 + 9b = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 9b = 4 + 32 9b = 4 + 32 Combine like terms: 4 + 32 = 36 9b = 36 Divide each side by '9'. b = 4 Simplifying b = 4
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