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Simplifying -2b + 2(b + -10) = 2(10 + 5b) Reorder the terms: -2b + 2(-10 + b) = 2(10 + 5b) -2b + (-10 * 2 + b * 2) = 2(10 + 5b) -2b + (-20 + 2b) = 2(10 + 5b) Reorder the terms: -20 + -2b + 2b = 2(10 + 5b) Combine like terms: -2b + 2b = 0 -20 + 0 = 2(10 + 5b) -20 = 2(10 + 5b) -20 = (10 * 2 + 5b * 2) -20 = (20 + 10b) Solving -20 = 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. -20 + -10b = 20 + 10b + -10b Combine like terms: 10b + -10b = 0 -20 + -10b = 20 + 0 -20 + -10b = 20 Add '20' to each side of the equation. -20 + 20 + -10b = 20 + 20 Combine like terms: -20 + 20 = 0 0 + -10b = 20 + 20 -10b = 20 + 20 Combine like terms: 20 + 20 = 40 -10b = 40 Divide each side by '-10'. b = -4 Simplifying b = -4
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