1. **Stating the problem:** We will solve equations by isolating the variable using division. 2. **Example 1:** Solve $3x=12$ for $x$. Divide both sides by 3: $$x=\frac{12}{3}$$ Simplify: $$x=4$$ 3. **Example 2:** Solve $-5y=20$ for $y$. Divide both sides by $-5$: $$y=\frac{20}{-5}$$ Simplify: $$y=-4$$ 4. **Example 3:** Solve $rac{z}{4}=7$ for $z$. Multiply both sides by 4 (inverse of division): $$z=7\times4$$ Simplify: $$z=28$$ 5. **Example 4:** Solve $\frac{6}{m}=3$ for $m$. Multiply both sides by $m$ and divide both sides by 3 to isolate $m$: $$6=3m\implies m=\frac{6}{3}=2$$ These examples demonstrate using division (and inverse operations) to isolate the variable and solve equations step-by-step.