6=4(1[u+7]1)+7u

Solution for 6=4(1[u+7]1)+7u equation:

Simplifying
6 = 4(1[u + 7] * 1) + 7u

Reorder the terms:
6 = 4(1[7 + u] * 1) + 7u

Reorder the terms for easier multiplication:
6 = 4(1 * 1[7 + u]) + 7u

Multiply 1 * 1
6 = 4(1[7 + u]) + 7u
6 = 4([7 * 1 + u * 1]) + 7u
6 = 4([7 + 1u]) + 7u
6 = (7 * 4 + 1u * 4) + 7u
6 = (28 + 4u) + 7u

Combine like terms: 4u + 7u = 11u
6 = 28 + 11u

Solving
6 = 28 + 11u

Solving for variable 'u'.

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

Add '-11u' to each side of the equation.
6 + -11u = 28 + 11u + -11u

Combine like terms: 11u + -11u = 0
6 + -11u = 28 + 0
6 + -11u = 28

Add '-6' to each side of the equation.
6 + -6 + -11u = 28 + -6

Combine like terms: 6 + -6 = 0
0 + -11u = 28 + -6
-11u = 28 + -6

Combine like terms: 28 + -6 = 22
-11u = 22

Divide each side by '-11'.
u = -2

Simplifying
u = -2