Final answer:
To solve the equation 7u-9+2(2u+2)=-7(u+2), simplify and then solve for u by combining like terms, adding or subtracting terms from both sides of the equation, and simplifying the result.
Step-by-step explanation:
To solve the given equation 7u-9+2(2u+2)=-7(u+2), we need to simplify and then solve for u. First, we use the distributive property to simplify both sides of the equation:
7u - 9 + 4u + 4 = -7u - 14
Combine like terms:
11u - 5 = -7u - 14
Add 7u to both sides of the equation:
11u + 7u - 5 = -7u + 7u - 14
18u - 5 = -14
Add 5 to both sides of the equation:
18u - 5 + 5 = -14 + 5
18u = -9
Divide both sides of the equation by 18:
u = -9/18
Simplify the fraction:
u = -1/2