Step-by-step explanation:
You want to identify the step that is occurring on each line of the solution to the equation 2(8u+2) = 3(2u-7).
1. 2(8u+2) = 3(2u-7) . . . . Original Equation
2. 16u +4 = 6u -21 . . . . Apply the distributive property
3. 16u +4 -6u = 6u -21 -6u . . . . subtract 6u from both sides
4. 10u +4 = -21 . . . . collect terms
5. 10u -4 = -21 -4 . . . . subtract 4 from both sides
6. 10u = -25 . . . . collect terms
7. 10u/10 = -25/10 . . . . divide both sides by 10
8. u = -2.5 . . . . simplify