10h-3(2h-9)=9(h-1)+1

Solution for 10h-3(2h-9)=9(h-1)+1 equation:

Simplifying
10h + -3(2h + -9) = 9(h + -1) + 1

Reorder the terms:
10h + -3(-9 + 2h) = 9(h + -1) + 1
10h + (-9 * -3 + 2h * -3) = 9(h + -1) + 1
10h + (27 + -6h) = 9(h + -1) + 1

Reorder the terms:
27 + 10h + -6h = 9(h + -1) + 1

Combine like terms: 10h + -6h = 4h
27 + 4h = 9(h + -1) + 1

Reorder the terms:
27 + 4h = 9(-1 + h) + 1
27 + 4h = (-1 * 9 + h * 9) + 1
27 + 4h = (-9 + 9h) + 1

Reorder the terms:
27 + 4h = -9 + 1 + 9h

Combine like terms: -9 + 1 = -8
27 + 4h = -8 + 9h

Solving
27 + 4h = -8 + 9h

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.
27 + 4h + -9h = -8 + 9h + -9h

Combine like terms: 4h + -9h = -5h
27 + -5h = -8 + 9h + -9h

Combine like terms: 9h + -9h = 0
27 + -5h = -8 + 0
27 + -5h = -8

Add '-27' to each side of the equation.
27 + -27 + -5h = -8 + -27

Combine like terms: 27 + -27 = 0
0 + -5h = -8 + -27
-5h = -8 + -27

Combine like terms: -8 + -27 = -35
-5h = -35

Divide each side by '-5'.
h = 7

Simplifying
h = 7