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Simplifying -6 + -5(5b + 5) = -31 + -2b Reorder the terms: -6 + -5(5 + 5b) = -31 + -2b -6 + (5 * -5 + 5b * -5) = -31 + -2b -6 + (-25 + -25b) = -31 + -2b Combine like terms: -6 + -25 = -31 -31 + -25b = -31 + -2b Add '31' to each side of the equation. -31 + 31 + -25b = -31 + 31 + -2b Combine like terms: -31 + 31 = 0 0 + -25b = -31 + 31 + -2b -25b = -31 + 31 + -2b Combine like terms: -31 + 31 = 0 -25b = 0 + -2b -25b = -2b Solving -25b = -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -25b + 2b = -2b + 2b Combine like terms: -25b + 2b = -23b -23b = -2b + 2b Combine like terms: -2b + 2b = 0 -23b = 0 Divide each side by '-23'. b = 0 Simplifying b = 0
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