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Simplifying (25b + -9) + -8(3b + 4) = -7 Reorder the terms: (-9 + 25b) + -8(3b + 4) = -7 Remove parenthesis around (-9 + 25b) -9 + 25b + -8(3b + 4) = -7 Reorder the terms: -9 + 25b + -8(4 + 3b) = -7 -9 + 25b + (4 * -8 + 3b * -8) = -7 -9 + 25b + (-32 + -24b) = -7 Reorder the terms: -9 + -32 + 25b + -24b = -7 Combine like terms: -9 + -32 = -41 -41 + 25b + -24b = -7 Combine like terms: 25b + -24b = 1b -41 + 1b = -7 Solving -41 + 1b = -7 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 = -7 + 41 Combine like terms: -41 + 41 = 0 0 + 1b = -7 + 41 1b = -7 + 41 Combine like terms: -7 + 41 = 34 1b = 34 Divide each side by '1'. b = 34 Simplifying b = 34
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