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Simplifying -2n + 2(b + -10) = 2(10 + 5b) Reorder the terms: -2n + 2(-10 + b) = 2(10 + 5b) -2n + (-10 * 2 + b * 2) = 2(10 + 5b) -2n + (-20 + 2b) = 2(10 + 5b) Reorder the terms: -20 + 2b + -2n = 2(10 + 5b) -20 + 2b + -2n = (10 * 2 + 5b * 2) -20 + 2b + -2n = (20 + 10b) Solving -20 + 2b + -2n = 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 + 2b + -10b + -2n = 20 + 10b + -10b Combine like terms: 2b + -10b = -8b -20 + -8b + -2n = 20 + 10b + -10b Combine like terms: 10b + -10b = 0 -20 + -8b + -2n = 20 + 0 -20 + -8b + -2n = 20 Add '20' to each side of the equation. -20 + -8b + 20 + -2n = 20 + 20 Reorder the terms: -20 + 20 + -8b + -2n = 20 + 20 Combine like terms: -20 + 20 = 0 0 + -8b + -2n = 20 + 20 -8b + -2n = 20 + 20 Combine like terms: 20 + 20 = 40 -8b + -2n = 40 Add '2n' to each side of the equation. -8b + -2n + 2n = 40 + 2n Combine like terms: -2n + 2n = 0 -8b + 0 = 40 + 2n -8b = 40 + 2n Divide each side by '-8'. b = -5 + -0.25n Simplifying b = -5 + -0.25n
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