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Simplifying (25b + -6) + -8(3b + 1) = -6 Reorder the terms: (-6 + 25b) + -8(3b + 1) = -6 Remove parenthesis around (-6 + 25b) -6 + 25b + -8(3b + 1) = -6 Reorder the terms: -6 + 25b + -8(1 + 3b) = -6 -6 + 25b + (1 * -8 + 3b * -8) = -6 -6 + 25b + (-8 + -24b) = -6 Reorder the terms: -6 + -8 + 25b + -24b = -6 Combine like terms: -6 + -8 = -14 -14 + 25b + -24b = -6 Combine like terms: 25b + -24b = 1b -14 + 1b = -6 Solving -14 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1b = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 1b = -6 + 14 1b = -6 + 14 Combine like terms: -6 + 14 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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