6(m-7)=-6(m+9)

Solution for 6(m-7)=-6(m+9) equation:

Simplifying
6(m + -7) = -6(m + 9)

Reorder the terms:
6(-7 + m) = -6(m + 9)
(-7 * 6 + m * 6) = -6(m + 9)
(-42 + 6m) = -6(m + 9)

Reorder the terms:
-42 + 6m = -6(9 + m)
-42 + 6m = (9 * -6 + m * -6)
-42 + 6m = (-54 + -6m)

Solving
-42 + 6m = -54 + -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.
-42 + 6m + 6m = -54 + -6m + 6m

Combine like terms: 6m + 6m = 12m
-42 + 12m = -54 + -6m + 6m

Combine like terms: -6m + 6m = 0
-42 + 12m = -54 + 0
-42 + 12m = -54

Add '42' to each side of the equation.
-42 + 42 + 12m = -54 + 42

Combine like terms: -42 + 42 = 0
0 + 12m = -54 + 42
12m = -54 + 42

Combine like terms: -54 + 42 = -12
12m = -12

Divide each side by '12'.
m = -1

Simplifying
m = -1