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Simplifying (25b + -7) + -6(4b + 4) = -6 Reorder the terms: (-7 + 25b) + -6(4b + 4) = -6 Remove parenthesis around (-7 + 25b) -7 + 25b + -6(4b + 4) = -6 Reorder the terms: -7 + 25b + -6(4 + 4b) = -6 -7 + 25b + (4 * -6 + 4b * -6) = -6 -7 + 25b + (-24 + -24b) = -6 Reorder the terms: -7 + -24 + 25b + -24b = -6 Combine like terms: -7 + -24 = -31 -31 + 25b + -24b = -6 Combine like terms: 25b + -24b = 1b -31 + 1b = -6 Solving -31 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 1b = -6 + 31 Combine like terms: -31 + 31 = 0 0 + 1b = -6 + 31 1b = -6 + 31 Combine like terms: -6 + 31 = 25 1b = 25 Divide each side by '1'. b = 25 Simplifying b = 25
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