21=.5h(6+1)

Solution for 21=.5h(6+1) equation:

Simplifying
21 = 0.5h(6 + 1)

Combine like terms: 6 + 1 = 7
21 = 0.5h(7)

Reorder the terms for easier multiplication:
21 = 0.5 * 7h

Multiply 0.5 * 7
21 = 3.5h

Solving
21 = 3.5h

Solving for variable 'h'.

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

Add '-3.5h' to each side of the equation.
21 + -3.5h = 3.5h + -3.5h

Combine like terms: 3.5h + -3.5h = 0.0
21 + -3.5h = 0.0

Add '-21' to each side of the equation.
21 + -21 + -3.5h = 0.0 + -21

Combine like terms: 21 + -21 = 0
0 + -3.5h = 0.0 + -21
-3.5h = 0.0 + -21

Combine like terms: 0.0 + -21 = -21
-3.5h = -21

Divide each side by '-3.5'.
h = 6

Simplifying
h = 6