1=3-2(7m+1)

Solution for 1=3-2(7m+1) equation:

Simplifying
1 = 3 + -2(7m + 1)

Reorder the terms:
1 = 3 + -2(1 + 7m)
1 = 3 + (1 * -2 + 7m * -2)
1 = 3 + (-2 + -14m)

Combine like terms: 3 + -2 = 1
1 = 1 + -14m

Add '-1' to each side of the equation.
1 + -1 = 1 + -1 + -14m

Combine like terms: 1 + -1 = 0
0 = 1 + -1 + -14m

Combine like terms: 1 + -1 = 0
0 = 0 + -14m
0 = -14m

Solving
0 = -14m

Solving for variable 'm'.

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

Add '14m' to each side of the equation.
0 + 14m = -14m + 14m
Remove the zero:
14m = -14m + 14m

Combine like terms: -14m + 14m = 0
14m = 0

Divide each side by '14'.
m = 0

Simplifying
m = 0