3u-42=-8(u+8)

Solution for 3u-42=-8(u+8) equation:

Simplifying
3u + -42 = -8(u + 8)

Reorder the terms:
-42 + 3u = -8(u + 8)

Reorder the terms:
-42 + 3u = -8(8 + u)
-42 + 3u = (8 * -8 + u * -8)
-42 + 3u = (-64 + -8u)

Solving
-42 + 3u = -64 + -8u

Solving for variable 'u'.

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

Add '8u' to each side of the equation.
-42 + 3u + 8u = -64 + -8u + 8u

Combine like terms: 3u + 8u = 11u
-42 + 11u = -64 + -8u + 8u

Combine like terms: -8u + 8u = 0
-42 + 11u = -64 + 0
-42 + 11u = -64

Add '42' to each side of the equation.
-42 + 42 + 11u = -64 + 42

Combine like terms: -42 + 42 = 0
0 + 11u = -64 + 42
11u = -64 + 42

Combine like terms: -64 + 42 = -22
11u = -22

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

Simplifying
u = -2