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Simplifying -8(3b + 4) + 25b + -9 = 0 Reorder the terms: -8(4 + 3b) + 25b + -9 = 0 (4 * -8 + 3b * -8) + 25b + -9 = 0 (-32 + -24b) + 25b + -9 = 0 Reorder the terms: -32 + -9 + -24b + 25b = 0 Combine like terms: -32 + -9 = -41 -41 + -24b + 25b = 0 Combine like terms: -24b + 25b = 1b -41 + 1b = 0 Solving -41 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 1b = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 1b = 0 + 41 1b = 0 + 41 Combine like terms: 0 + 41 = 41 1b = 41 Divide each side by '1'. b = 41 Simplifying b = 41
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