Subjects algebra

Solve For G

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1. **State the problem:** Solve for $g$ in the equation $$-3(g - 12.8) = -19.8$$. 2. **Use the distributive property:** Multiply $-3$ by each term inside the parentheses: $$-3 \times g + (-3) \times (-12.8) = -19.8$$ which simplifies to $$-3g + 38.4 = -19.8$$. 3. **Isolate the term with $g$:** Subtract $38.4$ from both sides: $$-3g = -19.8 - 38.4$$ $$-3g = -58.2$$. 4. **Solve for $g$:** Divide both sides by $-3$: $$g = \frac{-58.2}{-3}$$ $$g = 19.4$$. **Final answer:** $$g = 19.4$$