d) \( 5 a-8=4+a \)
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The Deep Dive
To solve the equation \( 5a - 8 = 4 + a \), start by isolating the variable \( a \). First, subtract \( a \) from both sides: \( 5a - a - 8 = 4 \), which simplifies to \( 4a - 8 = 4 \). Next, add 8 to both sides to get \( 4a = 12 \). Finally, divide both sides by 4 to find \( a = 3 \)! Now you'll be a pro at solving equations like this! This approach is quite handy and widely applicable. You might encounter similar equations during math tests or in real-world scenarios, like budgeting or calculating distances. Knowing how to solve for \( a \) allows you to make sense of various situations where relationships between quantities are established, making it a valuable skill!