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Simplifying -25 + 2(b + -10) = 2(10 + 5b) Reorder the terms: -25 + 2(-10 + b) = 2(10 + 5b) -25 + (-10 * 2 + b * 2) = 2(10 + 5b) -25 + (-20 + 2b) = 2(10 + 5b) Combine like terms: -25 + -20 = -45 -45 + 2b = 2(10 + 5b) -45 + 2b = (10 * 2 + 5b * 2) -45 + 2b = (20 + 10b) Solving -45 + 2b = 20 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -45 + 2b + -10b = 20 + 10b + -10b Combine like terms: 2b + -10b = -8b -45 + -8b = 20 + 10b + -10b Combine like terms: 10b + -10b = 0 -45 + -8b = 20 + 0 -45 + -8b = 20 Add '45' to each side of the equation. -45 + 45 + -8b = 20 + 45 Combine like terms: -45 + 45 = 0 0 + -8b = 20 + 45 -8b = 20 + 45 Combine like terms: 20 + 45 = 65 -8b = 65 Divide each side by '-8'. b = -8.125 Simplifying b = -8.125
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