3m-(m+1)=6m+1

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

Simplifying
3m + -1(m + 1) = 6m + 1

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

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

Combine like terms: 3m + -1m = 2m
-1 + 2m = 6m + 1

Reorder the terms:
-1 + 2m = 1 + 6m

Solving
-1 + 2m = 1 + 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.
-1 + 2m + -6m = 1 + 6m + -6m

Combine like terms: 2m + -6m = -4m
-1 + -4m = 1 + 6m + -6m

Combine like terms: 6m + -6m = 0
-1 + -4m = 1 + 0
-1 + -4m = 1

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

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

Combine like terms: 1 + 1 = 2
-4m = 2

Divide each side by '-4'.
m = -0.5

Simplifying
m = -0.5