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Simplifying 10b + -2c = 1b + -1c Solving 10b + -2c = 1b + -1c Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 10b + -1b + -2c = 1b + -1b + -1c Combine like terms: 10b + -1b = 9b 9b + -2c = 1b + -1b + -1c Combine like terms: 1b + -1b = 0 9b + -2c = 0 + -1c 9b + -2c = -1c Add '2c' to each side of the equation. 9b + -2c + 2c = -1c + 2c Combine like terms: -2c + 2c = 0 9b + 0 = -1c + 2c 9b = -1c + 2c Combine like terms: -1c + 2c = 1c 9b = 1c Divide each side by '9'. b = 0.1111111111c Simplifying b = 0.1111111111c
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