b) \( -8 a+4=-5 a-5 \)
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The Deep Dive
To solve the equation \( -8a + 4 = -5a - 5 \), start by getting all terms involving \( a \) on one side and constants on the other. You can add \( 8a \) to both sides, resulting in \( 4 = 3a - 5 \). Next, add \( 5 \) to both sides to isolate the term with \( a \): \( 9 = 3a \). Finally, divide both sides by \( 3 \) to get \( a = 3 \). Don't you just love when equations unravel themselves nice and tidy? When tackling equations like this, a common pitfall is forgetting to move all \( a \) terms to one side before isolating the variable. This can lead to confusion and mistakes. Always double-check your steps, and don't hesitate to simplify as you go! It’s like tidying up your room—everything in its place makes it easier to find what you’re looking for.