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Simplifying (b + -15) + (c + -10) + (b + -10) = 250 Reorder the terms: (-15 + b) + (c + -10) + (b + -10) = 250 Remove parenthesis around (-15 + b) -15 + b + (c + -10) + (b + -10) = 250 Reorder the terms: -15 + b + (-10 + c) + (b + -10) = 250 Remove parenthesis around (-10 + c) -15 + b + -10 + c + (b + -10) = 250 Reorder the terms: -15 + b + -10 + c + (-10 + b) = 250 Remove parenthesis around (-10 + b) -15 + b + -10 + c + -10 + b = 250 Reorder the terms: -15 + -10 + -10 + b + b + c = 250 Combine like terms: -15 + -10 = -25 -25 + -10 + b + b + c = 250 Combine like terms: -25 + -10 = -35 -35 + b + b + c = 250 Combine like terms: b + b = 2b -35 + 2b + c = 250 Solving -35 + 2b + c = 250 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 2b + 35 + c = 250 + 35 Reorder the terms: -35 + 35 + 2b + c = 250 + 35 Combine like terms: -35 + 35 = 0 0 + 2b + c = 250 + 35 2b + c = 250 + 35 Combine like terms: 250 + 35 = 285 2b + c = 285 Add '-1c' to each side of the equation. 2b + c + -1c = 285 + -1c Combine like terms: c + -1c = 0 2b + 0 = 285 + -1c 2b = 285 + -1c Divide each side by '2'. b = 142.5 + -0.5c Simplifying b = 142.5 + -0.5c
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