22=2(2m+1)+4(3m+1)

Solution for 22=2(2m+1)+4(3m+1) equation:

Simplifying
22 = 2(2m + 1) + 4(3m + 1)

Reorder the terms:
22 = 2(1 + 2m) + 4(3m + 1)
22 = (1 * 2 + 2m * 2) + 4(3m + 1)
22 = (2 + 4m) + 4(3m + 1)

Reorder the terms:
22 = 2 + 4m + 4(1 + 3m)
22 = 2 + 4m + (1 * 4 + 3m * 4)
22 = 2 + 4m + (4 + 12m)

Reorder the terms:
22 = 2 + 4 + 4m + 12m

Combine like terms: 2 + 4 = 6
22 = 6 + 4m + 12m

Combine like terms: 4m + 12m = 16m
22 = 6 + 16m

Solving
22 = 6 + 16m

Solving for variable 'm'.

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

Add '-16m' to each side of the equation.
22 + -16m = 6 + 16m + -16m

Combine like terms: 16m + -16m = 0
22 + -16m = 6 + 0
22 + -16m = 6

Add '-22' to each side of the equation.
22 + -22 + -16m = 6 + -22

Combine like terms: 22 + -22 = 0
0 + -16m = 6 + -22
-16m = 6 + -22

Combine like terms: 6 + -22 = -16
-16m = -16

Divide each side by '-16'.
m = 1

Simplifying
m = 1