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Simplifying (25b + -2) + -8(3b + 1) = -2 Reorder the terms: (-2 + 25b) + -8(3b + 1) = -2 Remove parenthesis around (-2 + 25b) -2 + 25b + -8(3b + 1) = -2 Reorder the terms: -2 + 25b + -8(1 + 3b) = -2 -2 + 25b + (1 * -8 + 3b * -8) = -2 -2 + 25b + (-8 + -24b) = -2 Reorder the terms: -2 + -8 + 25b + -24b = -2 Combine like terms: -2 + -8 = -10 -10 + 25b + -24b = -2 Combine like terms: 25b + -24b = 1b -10 + 1b = -2 Solving -10 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1b = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 1b = -2 + 10 1b = -2 + 10 Combine like terms: -2 + 10 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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