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Simplifying (25b + -9) + -8(3b + 2) = -2 Reorder the terms: (-9 + 25b) + -8(3b + 2) = -2 Remove parenthesis around (-9 + 25b) -9 + 25b + -8(3b + 2) = -2 Reorder the terms: -9 + 25b + -8(2 + 3b) = -2 -9 + 25b + (2 * -8 + 3b * -8) = -2 -9 + 25b + (-16 + -24b) = -2 Reorder the terms: -9 + -16 + 25b + -24b = -2 Combine like terms: -9 + -16 = -25 -25 + 25b + -24b = -2 Combine like terms: 25b + -24b = 1b -25 + 1b = -2 Solving -25 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 1b = -2 + 25 Combine like terms: -25 + 25 = 0 0 + 1b = -2 + 25 1b = -2 + 25 Combine like terms: -2 + 25 = 23 1b = 23 Divide each side by '1'. b = 23 Simplifying b = 23
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