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Yes, you can use multiplication to help find out what a variable is in tricky linear equations! It’s a really useful method. Let’s explain it step by step.

Understanding the Concept

When you work with an equation, your main goal is usually to get the variable (like $x$) by itself on one side. Multiplication can really help with this, especially if there’s a number multiplying the variable or if you want to get rid of fractions.

Example of Multiplication

Look at this equation:

$$3x + 4 = 16.$$

To get $x$ by itself, start by subtracting 4 from both sides:

$$3x = 12.$$

Next, to find $x$, you divide both sides by 3:

$$x = 4.$$

Working with Fractions

Multiplication is super helpful when there are fractions in the equation. For example, take this equation:

$$\frac{y}{5} = 3.$$

Here, you would multiply both sides by 5 to get rid of the fraction:

$$y = 15.$$

Summary

To sum it all up, multiplication is a great tool for isolating variables. Whether you’re getting rid of fractions or working with numbers, it makes solving complex linear equations easier. Happy solving!

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I hope this makes it easier to understand!