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Simplifying 278 = b + (5b + 1) Reorder the terms: 278 = b + (1 + 5b) Remove parenthesis around (1 + 5b) 278 = b + 1 + 5b Reorder the terms: 278 = 1 + b + 5b Combine like terms: b + 5b = 6b 278 = 1 + 6b Solving 278 = 1 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 278 + -6b = 1 + 6b + -6b Combine like terms: 6b + -6b = 0 278 + -6b = 1 + 0 278 + -6b = 1 Add '-278' to each side of the equation. 278 + -278 + -6b = 1 + -278 Combine like terms: 278 + -278 = 0 0 + -6b = 1 + -278 -6b = 1 + -278 Combine like terms: 1 + -278 = -277 -6b = -277 Divide each side by '-6'. b = 46.16666667 Simplifying b = 46.16666667
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