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Simplifying -8(3b + 4) + (25b + 8) = 0 Reorder the terms: -8(4 + 3b) + (25b + 8) = 0 (4 * -8 + 3b * -8) + (25b + 8) = 0 (-32 + -24b) + (25b + 8) = 0 Reorder the terms: -32 + -24b + (8 + 25b) = 0 Remove parenthesis around (8 + 25b) -32 + -24b + 8 + 25b = 0 Reorder the terms: -32 + 8 + -24b + 25b = 0 Combine like terms: -32 + 8 = -24 -24 + -24b + 25b = 0 Combine like terms: -24b + 25b = 1b -24 + 1b = 0 Solving -24 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 1b = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 1b = 0 + 24 1b = 0 + 24 Combine like terms: 0 + 24 = 24 1b = 24 Divide each side by '1'. b = 24 Simplifying b = 24
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