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

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

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

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

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

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

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

Solving
1 + 4h = 4 + 9h + -2k

Solving for variable 'h'.

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

Add '-9h' to each side of the equation.
1 + 4h + -9h = 4 + 9h + -9h + -2k

Combine like terms: 4h + -9h = -5h
1 + -5h = 4 + 9h + -9h + -2k

Combine like terms: 9h + -9h = 0
1 + -5h = 4 + 0 + -2k
1 + -5h = 4 + -2k

Add '-1' to each side of the equation.
1 + -1 + -5h = 4 + -1 + -2k

Combine like terms: 1 + -1 = 0
0 + -5h = 4 + -1 + -2k
-5h = 4 + -1 + -2k

Combine like terms: 4 + -1 = 3
-5h = 3 + -2k

Divide each side by '-5'.
h = -0.6 + 0.4k

Simplifying
h = -0.6 + 0.4k