1949=917+6(123+h-22)

Solution for 1949=917+6(123+h-22) equation:

Simplifying
1949 = 917 + 6(123 + h + -22)

Reorder the terms:
1949 = 917 + 6(123 + -22 + h)

Combine like terms: 123 + -22 = 101
1949 = 917 + 6(101 + h)
1949 = 917 + (101 * 6 + h * 6)
1949 = 917 + (606 + 6h)

Combine like terms: 917 + 606 = 1523
1949 = 1523 + 6h

Solving
1949 = 1523 + 6h

Solving for variable 'h'.

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

Add '-6h' to each side of the equation.
1949 + -6h = 1523 + 6h + -6h

Combine like terms: 6h + -6h = 0
1949 + -6h = 1523 + 0
1949 + -6h = 1523

Add '-1949' to each side of the equation.
1949 + -1949 + -6h = 1523 + -1949

Combine like terms: 1949 + -1949 = 0
0 + -6h = 1523 + -1949
-6h = 1523 + -1949

Combine like terms: 1523 + -1949 = -426
-6h = -426

Divide each side by '-6'.
h = 71

Simplifying
h = 71