32=8u+6(u+7)

Solution for 32=8u+6(u+7) equation:

Simplifying
32 = 8u + 6(u + 7)

Reorder the terms:
32 = 8u + 6(7 + u)
32 = 8u + (7 * 6 + u * 6)
32 = 8u + (42 + 6u)

Reorder the terms:
32 = 42 + 8u + 6u

Combine like terms: 8u + 6u = 14u
32 = 42 + 14u

Solving
32 = 42 + 14u

Solving for variable 'u'.

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

Add '-14u' to each side of the equation.
32 + -14u = 42 + 14u + -14u

Combine like terms: 14u + -14u = 0
32 + -14u = 42 + 0
32 + -14u = 42

Add '-32' to each side of the equation.
32 + -32 + -14u = 42 + -32

Combine like terms: 32 + -32 = 0
0 + -14u = 42 + -32
-14u = 42 + -32

Combine like terms: 42 + -32 = 10
-14u = 10

Divide each side by '-14'.
u = -0.7142857143

Simplifying
u = -0.7142857143