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Simplifying 7b + 9c + -5d = 38 Solving 7b + 9c + -5d = 38 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9c' to each side of the equation. 7b + 9c + -9c + -5d = 38 + -9c Combine like terms: 9c + -9c = 0 7b + 0 + -5d = 38 + -9c 7b + -5d = 38 + -9c Add '5d' to each side of the equation. 7b + -5d + 5d = 38 + -9c + 5d Combine like terms: -5d + 5d = 0 7b + 0 = 38 + -9c + 5d 7b = 38 + -9c + 5d Divide each side by '7'. b = 5.428571429 + -1.285714286c + 0.7142857143d Simplifying b = 5.428571429 + -1.285714286c + 0.7142857143d
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