m+(m+2)+0.5(m+2)=20.5

Solution for m+(m+2)+0.5(m+2)=20.5 equation:

Simplifying
m + (m + 2) + 0.5(m + 2) = 20.5

Reorder the terms:
m + (2 + m) + 0.5(m + 2) = 20.5

Remove parenthesis around (2 + m)
m + 2 + m + 0.5(m + 2) = 20.5

Reorder the terms:
m + 2 + m + 0.5(2 + m) = 20.5
m + 2 + m + (2 * 0.5 + m * 0.5) = 20.5
m + 2 + m + (1 + 0.5m) = 20.5

Reorder the terms:
2 + 1 + m + m + 0.5m = 20.5

Combine like terms: 2 + 1 = 3
3 + m + m + 0.5m = 20.5

Combine like terms: m + m = 2m
3 + 2m + 0.5m = 20.5

Combine like terms: 2m + 0.5m = 2.5m
3 + 2.5m = 20.5

Solving
3 + 2.5m = 20.5

Solving for variable 'm'.

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

Add '-3' to each side of the equation.
3 + -3 + 2.5m = 20.5 + -3

Combine like terms: 3 + -3 = 0
0 + 2.5m = 20.5 + -3
2.5m = 20.5 + -3

Combine like terms: 20.5 + -3 = 17.5
2.5m = 17.5

Divide each side by '2.5'.
m = 7

Simplifying
m = 7