6(-5u+1)-3(4u-12)=

Solution for 6(-5u+1)-3(4u-12)= equation:

Simplifying
6(-5u + 1) + -3(4u + -12) = 0

Reorder the terms:
6(1 + -5u) + -3(4u + -12) = 0
(1 * 6 + -5u * 6) + -3(4u + -12) = 0
(6 + -30u) + -3(4u + -12) = 0

Reorder the terms:
6 + -30u + -3(-12 + 4u) = 0
6 + -30u + (-12 * -3 + 4u * -3) = 0
6 + -30u + (36 + -12u) = 0

Reorder the terms:
6 + 36 + -30u + -12u = 0

Combine like terms: 6 + 36 = 42
42 + -30u + -12u = 0

Combine like terms: -30u + -12u = -42u
42 + -42u = 0

Solving
42 + -42u = 0

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 + -42u = 0 + -42

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

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

Divide each side by '-42'.
u = 1

Simplifying
u = 1