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Simplifying (25b + -7) + -8(3b + 1) = -6 Reorder the terms: (-7 + 25b) + -8(3b + 1) = -6 Remove parenthesis around (-7 + 25b) -7 + 25b + -8(3b + 1) = -6 Reorder the terms: -7 + 25b + -8(1 + 3b) = -6 -7 + 25b + (1 * -8 + 3b * -8) = -6 -7 + 25b + (-8 + -24b) = -6 Reorder the terms: -7 + -8 + 25b + -24b = -6 Combine like terms: -7 + -8 = -15 -15 + 25b + -24b = -6 Combine like terms: 25b + -24b = 1b -15 + 1b = -6 Solving -15 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1b = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = -6 + 15 1b = -6 + 15 Combine like terms: -6 + 15 = 9 1b = 9 Divide each side by '1'. b = 9 Simplifying b = 9
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