6(u+7)-8u=32

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

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

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

Combine like terms: 6u + -8u = -2u
42 + -2u = 32

Solving
42 + -2u = 32

Solving for variable 'u'.

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

Add '-42' to each side of the equation.
42 + -42 + -2u = 32 + -42

Combine like terms: 42 + -42 = 0
0 + -2u = 32 + -42
-2u = 32 + -42

Combine like terms: 32 + -42 = -10
-2u = -10

Divide each side by '-2'.
u = 5

Simplifying
u = 5