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Simplifying 3b + 2c + 8 = 12c + -14b + 45 Reorder the terms: 8 + 3b + 2c = 12c + -14b + 45 Reorder the terms: 8 + 3b + 2c = 45 + -14b + 12c Solving 8 + 3b + 2c = 45 + -14b + 12c Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. 8 + 3b + 14b + 2c = 45 + -14b + 14b + 12c Combine like terms: 3b + 14b = 17b 8 + 17b + 2c = 45 + -14b + 14b + 12c Combine like terms: -14b + 14b = 0 8 + 17b + 2c = 45 + 0 + 12c 8 + 17b + 2c = 45 + 12c Add '-8' to each side of the equation. 8 + 17b + -8 + 2c = 45 + -8 + 12c Reorder the terms: 8 + -8 + 17b + 2c = 45 + -8 + 12c Combine like terms: 8 + -8 = 0 0 + 17b + 2c = 45 + -8 + 12c 17b + 2c = 45 + -8 + 12c Combine like terms: 45 + -8 = 37 17b + 2c = 37 + 12c Add '-2c' to each side of the equation. 17b + 2c + -2c = 37 + 12c + -2c Combine like terms: 2c + -2c = 0 17b + 0 = 37 + 12c + -2c 17b = 37 + 12c + -2c Combine like terms: 12c + -2c = 10c 17b = 37 + 10c Divide each side by '17'. b = 2.176470588 + 0.5882352941c Simplifying b = 2.176470588 + 0.5882352941c
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