Subjects algebra

Solve Linear Equation 6560F6

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Solve Linear Equation 6560F6


1. **State the problem:** Solve the equation $9 + 3.5g = 11 - 0.5g$ for $g$. 2. **Write down the equation:** $$9 + 3.5g = 11 - 0.5g$$ 3. **Add $0.5g$ to both sides to get all $g$ terms on one side:** $$9 + 3.5g + 0.5g = 11 - 0.5g + 0.5g$$ $$9 + 4g = 11$$ 4. **Subtract 9 from both sides to isolate the $g$ term:** $$9 + 4g - 9 = 11 - 9$$ $$4g = 2$$ 5. **Divide both sides by 4 to solve for $g$:** $$g = \frac{2}{4} = 0.5$$ 6. **Final answer:** $$g = 0.5$$ This means the value of $g$ that satisfies the equation is $0.5$.