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Simplifying 2b + c = 3b + 1 Reorder the terms: 2b + c = 1 + 3b Solving 2b + c = 1 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 2b + -3b + c = 1 + 3b + -3b Combine like terms: 2b + -3b = -1b -1b + c = 1 + 3b + -3b Combine like terms: 3b + -3b = 0 -1b + c = 1 + 0 -1b + c = 1 Add '-1c' to each side of the equation. -1b + c + -1c = 1 + -1c Combine like terms: c + -1c = 0 -1b + 0 = 1 + -1c -1b = 1 + -1c Divide each side by '-1'. b = -1 + c Simplifying b = -1 + c
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