Subjects algebra

Solve For H 676A7A

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1. **State the problem:** Solve for $h$ in the equation $$-100 = -4(h + 92)$$. 2. **Use the distributive property:** Multiply $-4$ by each term inside the parentheses: $$-100 = -4h - 4 \times 92$$ $$-100 = -4h - 368$$ 3. **Isolate the term with $h$:** Add $368$ to both sides: $$-100 + 368 = -4h - 368 + 368$$ $$268 = -4h$$ 4. **Solve for $h$ by dividing both sides by $-4$:** $$h = \frac{268}{\cancel{-4}} \times \frac{\cancel{-1}}{1} = -\frac{268}{4}$$ 5. **Simplify the fraction:** $$h = -67$$ **Final answer:** $$h = -67$$