7h+6-5h=9h-7i

Solution for 7h+6-5h=9h-7i equation:

Simplifying
7h + 6 + -5h = 9h + -7i

Reorder the terms:
6 + 7h + -5h = 9h + -7i

Combine like terms: 7h + -5h = 2h
6 + 2h = 9h + -7i

Solving
6 + 2h = 9h + -7i

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.
6 + 2h + -9h = 9h + -9h + -7i

Combine like terms: 2h + -9h = -7h
6 + -7h = 9h + -9h + -7i

Combine like terms: 9h + -9h = 0
6 + -7h = 0 + -7i
6 + -7h = -7i

Add '-6' to each side of the equation.
6 + -6 + -7h = -6 + -7i

Combine like terms: 6 + -6 = 0
0 + -7h = -6 + -7i
-7h = -6 + -7i

Divide each side by '-7'.
h = 0.8571428571 + i

Simplifying
h = 0.8571428571 + i