-3m-3(1+m)=-(1+8m)

Solution for -3m-3(1+m)=-(1+8m) equation:

Simplifying
-3m + -3(1 + m) = -1(1 + 8m)
-3m + (1 * -3 + m * -3) = -1(1 + 8m)
-3m + (-3 + -3m) = -1(1 + 8m)

Reorder the terms:
-3 + -3m + -3m = -1(1 + 8m)

Combine like terms: -3m + -3m = -6m
-3 + -6m = -1(1 + 8m)
-3 + -6m = (1 * -1 + 8m * -1)
-3 + -6m = (-1 + -8m)

Solving
-3 + -6m = -1 + -8m

Solving for variable 'm'.

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

Add '8m' to each side of the equation.
-3 + -6m + 8m = -1 + -8m + 8m

Combine like terms: -6m + 8m = 2m
-3 + 2m = -1 + -8m + 8m

Combine like terms: -8m + 8m = 0
-3 + 2m = -1 + 0
-3 + 2m = -1

Add '3' to each side of the equation.
-3 + 3 + 2m = -1 + 3

Combine like terms: -3 + 3 = 0
0 + 2m = -1 + 3
2m = -1 + 3

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

Divide each side by '2'.
m = 1

Simplifying
m = 1