m+(m+5)+(m+5+6)=46

Solution for m+(m+5)+(m+5+6)=46 equation:

Simplifying
m + (m + 5) + (m + 5 + 6) = 46

Reorder the terms:
m + (5 + m) + (m + 5 + 6) = 46

Remove parenthesis around (5 + m)
m + 5 + m + (m + 5 + 6) = 46

Reorder the terms:
m + 5 + m + (5 + 6 + m) = 46

Combine like terms: 5 + 6 = 11
m + 5 + m + (11 + m) = 46

Remove parenthesis around (11 + m)
m + 5 + m + 11 + m = 46

Reorder the terms:
5 + 11 + m + m + m = 46

Combine like terms: 5 + 11 = 16
16 + m + m + m = 46

Combine like terms: m + m = 2m
16 + 2m + m = 46

Combine like terms: 2m + m = 3m
16 + 3m = 46

Solving
16 + 3m = 46

Solving for variable 'm'.

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

Add '-16' to each side of the equation.
16 + -16 + 3m = 46 + -16

Combine like terms: 16 + -16 = 0
0 + 3m = 46 + -16
3m = 46 + -16

Combine like terms: 46 + -16 = 30
3m = 30

Divide each side by '3'.
m = 10

Simplifying
m = 10