Subjects algebra

Solve Linear Equation 94C58F

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Question: User: b=$(12b+1)$
1. **State the problem:** Solve the equation $b = 12b + 1$ for $b$. 2. **Rewrite the equation:** $$b = 12b + 1$$ 3. **Isolate the variable $b$ on one side:** Subtract $12b$ from both sides: $$b - 12b = 12b + 1 - 12b$$ $$\cancel{b} - \cancel{12b} = 1$$ $$-11b = 1$$ 4. **Solve for $b$:** Divide both sides by $-11$: $$b = \frac{1}{-11} = -\frac{1}{11}$$ 5. **Final answer:** $$b = -\frac{1}{11}$$ This means the value of $b$ that satisfies the equation is $-\frac{1}{11}$.