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Simplifying (b + -3) + (b * 2) + (c + 3) + (b + -2) = 20 Reorder the terms: (-3 + b) + (b * 2) + (c + 3) + (b + -2) = 20 Remove parenthesis around (-3 + b) -3 + b + (b * 2) + (c + 3) + (b + -2) = 20 Reorder the terms for easier multiplication: -3 + b + (2b) + (c + 3) + (b + -2) = 20 Reorder the terms: -3 + b + (2b) + (3 + c) + (b + -2) = 20 Remove parenthesis around (3 + c) -3 + b + (2b) + 3 + c + (b + -2) = 20 Reorder the terms: -3 + b + (2b) + 3 + c + (-2 + b) = 20 Remove parenthesis around (-2 + b) -3 + b + (2b) + 3 + c + -2 + b = 20 Reorder the terms: -3 + 3 + -2 + b + (2b) + b + c = 20 Combine like terms: -3 + 3 = 0 0 + -2 + b + (2b) + b + c = 20 -2 + b + (2b) + b + c = 20 Combine like terms: b + (2b) = 3b -2 + 3b + b + c = 20 Combine like terms: 3b + b = 4b -2 + 4b + c = 20 Solving -2 + 4b + c = 20 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 4b + 2 + c = 20 + 2 Reorder the terms: -2 + 2 + 4b + c = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 4b + c = 20 + 2 4b + c = 20 + 2 Combine like terms: 20 + 2 = 22 4b + c = 22 Add '-1c' to each side of the equation. 4b + c + -1c = 22 + -1c Combine like terms: c + -1c = 0 4b + 0 = 22 + -1c 4b = 22 + -1c Divide each side by '4'. b = 5.5 + -0.25c Simplifying b = 5.5 + -0.25c
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