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

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

Simplifying
(3h + 2) = (3h + 2) * 2 + 2(3h + 2) + -1

Reorder the terms:
(2 + 3h) = (3h + 2) * 2 + 2(3h + 2) + -1

Remove parenthesis around (2 + 3h)
2 + 3h = (3h + 2) * 2 + 2(3h + 2) + -1

Reorder the terms:
2 + 3h = (2 + 3h) * 2 + 2(3h + 2) + -1

Reorder the terms for easier multiplication:
2 + 3h = 2(2 + 3h) + 2(3h + 2) + -1
2 + 3h = (2 * 2 + 3h * 2) + 2(3h + 2) + -1
2 + 3h = (4 + 6h) + 2(3h + 2) + -1

Reorder the terms:
2 + 3h = 4 + 6h + 2(2 + 3h) + -1
2 + 3h = 4 + 6h + (2 * 2 + 3h * 2) + -1
2 + 3h = 4 + 6h + (4 + 6h) + -1

Reorder the terms:
2 + 3h = 4 + 4 + -1 + 6h + 6h

Combine like terms: 4 + 4 = 8
2 + 3h = 8 + -1 + 6h + 6h

Combine like terms: 8 + -1 = 7
2 + 3h = 7 + 6h + 6h

Combine like terms: 6h + 6h = 12h
2 + 3h = 7 + 12h

Solving
2 + 3h = 7 + 12h

Solving for variable 'h'.

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

Add '-12h' to each side of the equation.
2 + 3h + -12h = 7 + 12h + -12h

Combine like terms: 3h + -12h = -9h
2 + -9h = 7 + 12h + -12h

Combine like terms: 12h + -12h = 0
2 + -9h = 7 + 0
2 + -9h = 7

Add '-2' to each side of the equation.
2 + -2 + -9h = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -9h = 7 + -2
-9h = 7 + -2

Combine like terms: 7 + -2 = 5
-9h = 5

Divide each side by '-9'.
h = -0.5555555556

Simplifying
h = -0.5555555556