21-3(2m+6)=4m+1

Solution for 21-3(2m+6)=4m+1 equation:

Simplifying
21 + -3(2m + 6) = 4m + 1

Reorder the terms:
21 + -3(6 + 2m) = 4m + 1
21 + (6 * -3 + 2m * -3) = 4m + 1
21 + (-18 + -6m) = 4m + 1

Combine like terms: 21 + -18 = 3
3 + -6m = 4m + 1

Reorder the terms:
3 + -6m = 1 + 4m

Solving
3 + -6m = 1 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
3 + -6m + -4m = 1 + 4m + -4m

Combine like terms: -6m + -4m = -10m
3 + -10m = 1 + 4m + -4m

Combine like terms: 4m + -4m = 0
3 + -10m = 1 + 0
3 + -10m = 1

Add '-3' to each side of the equation.
3 + -3 + -10m = 1 + -3

Combine like terms: 3 + -3 = 0
0 + -10m = 1 + -3
-10m = 1 + -3

Combine like terms: 1 + -3 = -2
-10m = -2

Divide each side by '-10'.
m = 0.2

Simplifying
m = 0.2