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Simplifying 8(b + 4) + 7(1 + -1b) = 39 Reorder the terms: 8(4 + b) + 7(1 + -1b) = 39 (4 * 8 + b * 8) + 7(1 + -1b) = 39 (32 + 8b) + 7(1 + -1b) = 39 32 + 8b + (1 * 7 + -1b * 7) = 39 32 + 8b + (7 + -7b) = 39 Reorder the terms: 32 + 7 + 8b + -7b = 39 Combine like terms: 32 + 7 = 39 39 + 8b + -7b = 39 Combine like terms: 8b + -7b = 1b 39 + 1b = 39 Add '-39' to each side of the equation. 39 + -39 + 1b = 39 + -39 Combine like terms: 39 + -39 = 0 0 + 1b = 39 + -39 1b = 39 + -39 Combine like terms: 39 + -39 = 0 1b = 0 Solving 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '1'. b = 0 Simplifying b = 0
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