Subjects algebra

Solve Linear Equation 50Eac6

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1. **State the problem:** Solve the one-step linear equation $b - 2.06 = 3.94$. 2. **Formula and rule:** To isolate $b$, add $2.06$ to both sides of the equation. This uses the addition property of equality which states that adding the same number to both sides keeps the equation balanced. 3. **Apply the operation:** $$b - 2.06 + 2.06 = 3.94 + 2.06$$ 4. **Simplify both sides:** $$b + \cancel{- 2.06} + \cancel{2.06} = 3.94 + 2.06$$ $$b = 6.00$$ 5. **Interpretation:** The solution to the equation is $b = 6.00$. 6. **Check the answer:** Substitute $b = 6.00$ back into the original equation: $$6.00 - 2.06 = 3.94$$ $$3.94 = 3.94$$ which is true, confirming the solution. **Final answer:** $b = 6.00$