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Simplifying 31 + 4b + -1t = 40 Solving 31 + 4b + -1t = 40 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + 4b + -31 + -1t = 40 + -31 Reorder the terms: 31 + -31 + 4b + -1t = 40 + -31 Combine like terms: 31 + -31 = 0 0 + 4b + -1t = 40 + -31 4b + -1t = 40 + -31 Combine like terms: 40 + -31 = 9 4b + -1t = 9 Add 't' to each side of the equation. 4b + -1t + t = 9 + t Combine like terms: -1t + t = 0 4b + 0 = 9 + t 4b = 9 + t Divide each side by '4'. b = 2.25 + 0.25t Simplifying b = 2.25 + 0.25t
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