-9(u-4)=-3u+42

Solution for -9(u-4)=-3u+42 equation:

Simplifying
-9(u + -4) = -3u + 42

Reorder the terms:
-9(-4 + u) = -3u + 42
(-4 * -9 + u * -9) = -3u + 42
(36 + -9u) = -3u + 42

Reorder the terms:
36 + -9u = 42 + -3u

Solving
36 + -9u = 42 + -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.
36 + -9u + 3u = 42 + -3u + 3u

Combine like terms: -9u + 3u = -6u
36 + -6u = 42 + -3u + 3u

Combine like terms: -3u + 3u = 0
36 + -6u = 42 + 0
36 + -6u = 42

Add '-36' to each side of the equation.
36 + -36 + -6u = 42 + -36

Combine like terms: 36 + -36 = 0
0 + -6u = 42 + -36
-6u = 42 + -36

Combine like terms: 42 + -36 = 6
-6u = 6

Divide each side by '-6'.
u = -1

Simplifying
u = -1