7u-22=-9(u+6)

Solution for 7u-22=-9(u+6) equation:

Simplifying
7u + -22 = -9(u + 6)

Reorder the terms:
-22 + 7u = -9(u + 6)

Reorder the terms:
-22 + 7u = -9(6 + u)
-22 + 7u = (6 * -9 + u * -9)
-22 + 7u = (-54 + -9u)

Solving
-22 + 7u = -54 + -9u

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '9u' to each side of the equation.
-22 + 7u + 9u = -54 + -9u + 9u

Combine like terms: 7u + 9u = 16u
-22 + 16u = -54 + -9u + 9u

Combine like terms: -9u + 9u = 0
-22 + 16u = -54 + 0
-22 + 16u = -54

Add '22' to each side of the equation.
-22 + 22 + 16u = -54 + 22

Combine like terms: -22 + 22 = 0
0 + 16u = -54 + 22
16u = -54 + 22

Combine like terms: -54 + 22 = -32
16u = -32

Divide each side by '16'.
u = -2

Simplifying
u = -2