Final answer:
To solve the linear equation 16 = -9x - 6 + 7x, combine like terms and isolate the variable x. The solution is x = -5.
Step-by-step explanation:
To solve the linear equation 16 = -9x - 6 + 7x, you need to combine like terms and isolate the variable x.
Step 1: Combine the x terms on the right side of the equation:
-9x + 7x = -6 + 16
-2x = 10
Step 2: Divide both sides of the equation by -2 to solve for x:
x = 10 / -2
x = -5
The solution to the equation is x = -5.