3(4s+1)=4(3s+h)+3h

Solution for 3(4s+1)=4(3s+h)+3h equation:

Simplifying
3(4s + 1) = 4(3s + h) + 3h

Reorder the terms:
3(1 + 4s) = 4(3s + h) + 3h
(1 * 3 + 4s * 3) = 4(3s + h) + 3h
(3 + 12s) = 4(3s + h) + 3h

Reorder the terms:
3 + 12s = 4(h + 3s) + 3h
3 + 12s = (h * 4 + 3s * 4) + 3h
3 + 12s = (4h + 12s) + 3h

Reorder the terms:
3 + 12s = 4h + 3h + 12s

Combine like terms: 4h + 3h = 7h
3 + 12s = 7h + 12s

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

Combine like terms: 12s + -12s = 0
3 + 0 = 7h + 12s + -12s
3 = 7h + 12s + -12s

Combine like terms: 12s + -12s = 0
3 = 7h + 0
3 = 7h

Solving
3 = 7h

Solving for variable 'h'.

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

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

Combine like terms: 7h + -7h = 0
3 + -7h = 0

Add '-3' to each side of the equation.
3 + -3 + -7h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7h = 0 + -3
-7h = 0 + -3

Combine like terms: 0 + -3 = -3
-7h = -3

Divide each side by '-7'.
h = 0.4285714286

Simplifying
h = 0.4285714286