Simplify Expression F4300A

1. **State the problem:** Simplify the expression $$3dg + 6d + 2gr + 4gd + 7d$$ by combining like terms. 2. **Identify like terms:** Terms with the same variables multiplied together can be combined. - $3dg$ and $4gd$ are like terms because multiplication is commutative ($dg = gd$). - $6d$ and $7d$ are like terms. - $2gr$ has different variables and cannot be combined with others. 3. **Combine like terms:** - Combine $3dg$ and $4gd$: $$3dg + 4gd = 3dg + 4dg = (3 + 4)dg = 7dg$$ - Combine $6d$ and $7d$: $$6d + 7d = (6 + 7)d = 13d$$ 4. **Rewrite the expression:** $$7dg + 13d + 2gr$$ 5. **Final simplified expression:** $$\boxed{7dg + 13d + 2gr}$$