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

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

Simplifying
6 + 4(1 + 2m) = 3(m + 3) + 1
6 + (1 * 4 + 2m * 4) = 3(m + 3) + 1
6 + (4 + 8m) = 3(m + 3) + 1

Combine like terms: 6 + 4 = 10
10 + 8m = 3(m + 3) + 1

Reorder the terms:
10 + 8m = 3(3 + m) + 1
10 + 8m = (3 * 3 + m * 3) + 1
10 + 8m = (9 + 3m) + 1

Reorder the terms:
10 + 8m = 9 + 1 + 3m

Combine like terms: 9 + 1 = 10
10 + 8m = 10 + 3m

Add '-10' to each side of the equation.
10 + -10 + 8m = 10 + -10 + 3m

Combine like terms: 10 + -10 = 0
0 + 8m = 10 + -10 + 3m
8m = 10 + -10 + 3m

Combine like terms: 10 + -10 = 0
8m = 0 + 3m
8m = 3m

Solving
8m = 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
8m + -3m = 3m + -3m

Combine like terms: 8m + -3m = 5m
5m = 3m + -3m

Combine like terms: 3m + -3m = 0
5m = 0

Divide each side by '5'.
m = 0

Simplifying
m = 0