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Simplifying -8(4 + -1b) = 7b + -40 (4 * -8 + -1b * -8) = 7b + -40 (-32 + 8b) = 7b + -40 Reorder the terms: -32 + 8b = -40 + 7b Solving -32 + 8b = -40 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -32 + 8b + -7b = -40 + 7b + -7b Combine like terms: 8b + -7b = 1b -32 + 1b = -40 + 7b + -7b Combine like terms: 7b + -7b = 0 -32 + 1b = -40 + 0 -32 + 1b = -40 Add '32' to each side of the equation. -32 + 32 + 1b = -40 + 32 Combine like terms: -32 + 32 = 0 0 + 1b = -40 + 32 1b = -40 + 32 Combine like terms: -40 + 32 = -8 1b = -8 Divide each side by '1'. b = -8 Simplifying b = -8
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