6h-(2h-1)=9h+2(2-h)

Solution for 6h-(2h-1)=9h+2(2-h) equation:

Simplifying
6h + -1(2h + -1) = 9h + 2(2 + -1h)

Reorder the terms:
6h + -1(-1 + 2h) = 9h + 2(2 + -1h)
6h + (-1 * -1 + 2h * -1) = 9h + 2(2 + -1h)
6h + (1 + -2h) = 9h + 2(2 + -1h)

Reorder the terms:
1 + 6h + -2h = 9h + 2(2 + -1h)

Combine like terms: 6h + -2h = 4h
1 + 4h = 9h + 2(2 + -1h)
1 + 4h = 9h + (2 * 2 + -1h * 2)
1 + 4h = 9h + (4 + -2h)

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

Combine like terms: 9h + -2h = 7h
1 + 4h = 4 + 7h

Solving
1 + 4h = 4 + 7h

Solving for variable 'h'.

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

Add '-7h' to each side of the equation.
1 + 4h + -7h = 4 + 7h + -7h

Combine like terms: 4h + -7h = -3h
1 + -3h = 4 + 7h + -7h

Combine like terms: 7h + -7h = 0
1 + -3h = 4 + 0
1 + -3h = 4

Add '-1' to each side of the equation.
1 + -1 + -3h = 4 + -1

Combine like terms: 1 + -1 = 0
0 + -3h = 4 + -1
-3h = 4 + -1

Combine like terms: 4 + -1 = 3
-3h = 3

Divide each side by '-3'.
h = -1

Simplifying
h = -1