6=-7u+4(u+6)

Solution for 6=-7u+4(u+6) equation:

Simplifying
6 = -7u + 4(u + 6)

Reorder the terms:
6 = -7u + 4(6 + u)
6 = -7u + (6 * 4 + u * 4)
6 = -7u + (24 + 4u)

Reorder the terms:
6 = 24 + -7u + 4u

Combine like terms: -7u + 4u = -3u
6 = 24 + -3u

Solving
6 = 24 + -3u

Solving for variable 'u'.

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

Add '3u' to each side of the equation.
6 + 3u = 24 + -3u + 3u

Combine like terms: -3u + 3u = 0
6 + 3u = 24 + 0
6 + 3u = 24

Add '-6' to each side of the equation.
6 + -6 + 3u = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 3u = 24 + -6
3u = 24 + -6

Combine like terms: 24 + -6 = 18
3u = 18

Divide each side by '3'.
u = 6

Simplifying
u = 6