Which expression is equivalent to the expression below? \[ 7 v-5 w+v+v+v \]

To simplify the expression \( 7v - 5w + v + v + v \), we first combine like terms. We have \( 7v + v + v + v \), which simplifies to \( 7v + 3v = 10v \). So, the expression simplifies to \( 10v - 5w \). Now, here's a fun fact: the process of simplifying expressions like this dates back to the ancient civilizations who used symbols for numbers and operations long before algebra was formally developed. The Babylonians, for example, used a base-60 numeral system, and they were solving equations that resemble algebraic expressions! In real-world applications, simplifying expressions is essential when dealing with finances or budgeting. For instance, if you earn 7 units of currency and receive an additional three units, it's crucial to know that your total earnings are now 10 units. Similarly, if you have expenses represented by variables, combining them can help you quickly assess your financial situation!