1. \( 2(g+4)=10+g \) (2.) \( 15-9 p+12=2-8 p \) (3.) \( 39=2 c-3(4 c-3) \) (4.) \( -5 r+30-3 r=9-r \) (5.) \( 5(4-3 j)=-5 j-50 \) (6.) \( -36=4(2 a-5)-6 a \) (7.) \( 3(3 d-2)=4 d-30+d \) (8.) \( 24-3 f-5=-2(5 f+8) \)

To solve equations like these, a handy tip is to always distribute and combine like terms efficiently. For example, in equation (1), after distributing the \(2\) to both \(g\) and \(4\), you can group all \(g\) terms on one side to simplify the problem. This keeps things organized. Remember, keeping your workspace clear reduces mistakes! When dealing with linear equations, one common booby trap is forgetting to change the sign when moving terms from one side to the other. For instance, in equation (6), when you move terms involving \(a\) from one side of the equation to the other, be sure to flip the sign! This simple error can lead to incorrect solutions, so double-check your steps!