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Simplifying 3b + 2c + 5 = a2 + -9 Reorder the terms: 5 + 3b + 2c = a2 + -9 Reorder the terms: 5 + 3b + 2c = -9 + a2 Solving 5 + 3b + 2c = -9 + a2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3b + -5 + 2c = -9 + -5 + a2 Reorder the terms: 5 + -5 + 3b + 2c = -9 + -5 + a2 Combine like terms: 5 + -5 = 0 0 + 3b + 2c = -9 + -5 + a2 3b + 2c = -9 + -5 + a2 Combine like terms: -9 + -5 = -14 3b + 2c = -14 + a2 Add '-2c' to each side of the equation. 3b + 2c + -2c = -14 + a2 + -2c Combine like terms: 2c + -2c = 0 3b + 0 = -14 + a2 + -2c 3b = -14 + a2 + -2c Divide each side by '3'. b = -4.666666667 + 0.3333333333a2 + -0.6666666667c Simplifying b = -4.666666667 + 0.3333333333a2 + -0.6666666667c
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