6.1(6.3-3.4h)=4+3(3.9h-1)

Solution for 6.1(6.3-3.4h)=4+3(3.9h-1) equation:

Simplifying
6.1(6.3 + -3.4h) = 4 + 3(3.9h + -1)
(6.3 * 6.1 + -3.4h * 6.1) = 4 + 3(3.9h + -1)
(38.43 + -20.74h) = 4 + 3(3.9h + -1)

Reorder the terms:
38.43 + -20.74h = 4 + 3(-1 + 3.9h)
38.43 + -20.74h = 4 + (-1 * 3 + 3.9h * 3)
38.43 + -20.74h = 4 + (-3 + 11.7h)

Combine like terms: 4 + -3 = 1
38.43 + -20.74h = 1 + 11.7h

Solving
38.43 + -20.74h = 1 + 11.7h

Solving for variable 'h'.

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

Add '-11.7h' to each side of the equation.
38.43 + -20.74h + -11.7h = 1 + 11.7h + -11.7h

Combine like terms: -20.74h + -11.7h = -32.44h
38.43 + -32.44h = 1 + 11.7h + -11.7h

Combine like terms: 11.7h + -11.7h = 0.0
38.43 + -32.44h = 1 + 0.0
38.43 + -32.44h = 1

Add '-38.43' to each side of the equation.
38.43 + -38.43 + -32.44h = 1 + -38.43

Combine like terms: 38.43 + -38.43 = 0.00
0.00 + -32.44h = 1 + -38.43
-32.44h = 1 + -38.43

Combine like terms: 1 + -38.43 = -37.43
-32.44h = -37.43

Divide each side by '-32.44'.
h = 1.153822441

Simplifying
h = 1.153822441