3=4+2(3m+1)

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

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

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

Combine like terms: 4 + 2 = 6
3 = 6 + 6m

Solving
3 = 6 + 6m

Solving for variable 'm'.

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

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

Combine like terms: 6m + -6m = 0
3 + -6m = 6 + 0
3 + -6m = 6

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

Combine like terms: 3 + -3 = 0
0 + -6m = 6 + -3
-6m = 6 + -3

Combine like terms: 6 + -3 = 3
-6m = 3

Divide each side by '-6'.
m = -0.5

Simplifying
m = -0.5