Solve for \( a \). \( a-15=4 a-3 \) \( a=\square \) Related content Intro to equations with variables on both sides

To solve for \( a \), first, let's isolate \( a \) on one side of the equation. Start by moving \( 4a \) to the left side and \( 15 \) to the right side: \[ a - 4a = -3 + 15 \] This simplifies to: \[ -3a = 12 \] Now, divide both sides by -3: \[ a = -4 \] Thus, \( a = -4 \). For more on the beauty of isolating variables, consider that linear equations like this one form the foundation of algebra, a language that describes relationships and changes. Learning to manipulate equations opens up further explorations in math! Also, once you've got the basic concept down, practice is key! Try different problems with varying complexities. It's easy to make common mistakes like forgetting to change the sign when moving terms, so double-check your steps. With practice, your skills will sharpen!