Final answer:
To find 'what' in the equation -9 + 2(x + 8) = 1/2 (4x - 4) + what, we simplify and solve to discover that 'what' equals 9.
Step-by-step explanation:
To solve the equation -9 + 2(x + 8) = 1/2 (4x - 4) + what, we need to simplify and solve for 'what'. First, distribute the 2 on the left side and the 1/2 on the right side:
-9 + 2x + 16 = 2x - 2 + what
Next, combine like terms and simplify:
2x + 7 = 2x - 2 + what
To isolate 'what', we subtract 2x from both sides:
7 = -2 + what
The 'what' in the equation is therefore the number that, when added to -2, equals 7. Thus:
what = 7 + 2
what = 9
The result is that 'what' equals 9. The equation is now balanced, and the solution is found by following standard algebraic procedures.