9h-(2h-4h+1)=38-2h

Solution for 9h-(2h-4h+1)=38-2h equation:

Simplifying
9h + -1(2h + -4h + 1) = 38 + -2h

Reorder the terms:
9h + -1(1 + 2h + -4h) = 38 + -2h

Combine like terms: 2h + -4h = -2h
9h + -1(1 + -2h) = 38 + -2h
9h + (1 * -1 + -2h * -1) = 38 + -2h
9h + (-1 + 2h) = 38 + -2h

Reorder the terms:
-1 + 9h + 2h = 38 + -2h

Combine like terms: 9h + 2h = 11h
-1 + 11h = 38 + -2h

Solving
-1 + 11h = 38 + -2h

Solving for variable 'h'.

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

Add '2h' to each side of the equation.
-1 + 11h + 2h = 38 + -2h + 2h

Combine like terms: 11h + 2h = 13h
-1 + 13h = 38 + -2h + 2h

Combine like terms: -2h + 2h = 0
-1 + 13h = 38 + 0
-1 + 13h = 38

Add '1' to each side of the equation.
-1 + 1 + 13h = 38 + 1

Combine like terms: -1 + 1 = 0
0 + 13h = 38 + 1
13h = 38 + 1

Combine like terms: 38 + 1 = 39
13h = 39

Divide each side by '13'.
h = 3

Simplifying
h = 3