16=6(m-5)-2(1-3m)

Solution for 16=6(m-5)-2(1-3m) equation:

Simplifying
16 = 6(m + -5) + -2(1 + -3m)

Reorder the terms:
16 = 6(-5 + m) + -2(1 + -3m)
16 = (-5 * 6 + m * 6) + -2(1 + -3m)
16 = (-30 + 6m) + -2(1 + -3m)
16 = -30 + 6m + (1 * -2 + -3m * -2)
16 = -30 + 6m + (-2 + 6m)

Reorder the terms:
16 = -30 + -2 + 6m + 6m

Combine like terms: -30 + -2 = -32
16 = -32 + 6m + 6m

Combine like terms: 6m + 6m = 12m
16 = -32 + 12m

Solving
16 = -32 + 12m

Solving for variable 'm'.

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

Add '-12m' to each side of the equation.
16 + -12m = -32 + 12m + -12m

Combine like terms: 12m + -12m = 0
16 + -12m = -32 + 0
16 + -12m = -32

Add '-16' to each side of the equation.
16 + -16 + -12m = -32 + -16

Combine like terms: 16 + -16 = 0
0 + -12m = -32 + -16
-12m = -32 + -16

Combine like terms: -32 + -16 = -48
-12m = -48

Divide each side by '-12'.
m = 4

Simplifying
m = 4