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Simplifying 278 = b + b + (5b + 1) + (5b + 1) Reorder the terms: 278 = b + b + (1 + 5b) + (5b + 1) Remove parenthesis around (1 + 5b) 278 = b + b + 1 + 5b + (5b + 1) Reorder the terms: 278 = b + b + 1 + 5b + (1 + 5b) Remove parenthesis around (1 + 5b) 278 = b + b + 1 + 5b + 1 + 5b Reorder the terms: 278 = 1 + 1 + b + b + 5b + 5b Combine like terms: 1 + 1 = 2 278 = 2 + b + b + 5b + 5b Combine like terms: b + b = 2b 278 = 2 + 2b + 5b + 5b Combine like terms: 2b + 5b = 7b 278 = 2 + 7b + 5b Combine like terms: 7b + 5b = 12b 278 = 2 + 12b Solving 278 = 2 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 278 + -12b = 2 + 12b + -12b Combine like terms: 12b + -12b = 0 278 + -12b = 2 + 0 278 + -12b = 2 Add '-278' to each side of the equation. 278 + -278 + -12b = 2 + -278 Combine like terms: 278 + -278 = 0 0 + -12b = 2 + -278 -12b = 2 + -278 Combine like terms: 2 + -278 = -276 -12b = -276 Divide each side by '-12'. b = 23 Simplifying b = 23
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