10=6+(1+3m)-2(2+10m)

Solution for 10=6+(1+3m)-2(2+10m) equation:

Simplifying
10 = 6 + (1 + 3m) + -2(2 + 10m)

Remove parenthesis around (1 + 3m)
10 = 6 + 1 + 3m + -2(2 + 10m)
10 = 6 + 1 + 3m + (2 * -2 + 10m * -2)
10 = 6 + 1 + 3m + (-4 + -20m)

Reorder the terms:
10 = 6 + 1 + -4 + 3m + -20m

Combine like terms: 6 + 1 = 7
10 = 7 + -4 + 3m + -20m

Combine like terms: 7 + -4 = 3
10 = 3 + 3m + -20m

Combine like terms: 3m + -20m = -17m
10 = 3 + -17m

Solving
10 = 3 + -17m

Solving for variable 'm'.

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

Add '17m' to each side of the equation.
10 + 17m = 3 + -17m + 17m

Combine like terms: -17m + 17m = 0
10 + 17m = 3 + 0
10 + 17m = 3

Add '-10' to each side of the equation.
10 + -10 + 17m = 3 + -10

Combine like terms: 10 + -10 = 0
0 + 17m = 3 + -10
17m = 3 + -10

Combine like terms: 3 + -10 = -7
17m = -7

Divide each side by '17'.
m = -0.4117647059

Simplifying
m = -0.4117647059