9(2m-8)-(m-7)=-16

Solution for 9(2m-8)-(m-7)=-16 equation:

Simplifying
9(2m + -8) + -1(m + -7) = -16

Reorder the terms:
9(-8 + 2m) + -1(m + -7) = -16
(-8 * 9 + 2m * 9) + -1(m + -7) = -16
(-72 + 18m) + -1(m + -7) = -16

Reorder the terms:
-72 + 18m + -1(-7 + m) = -16
-72 + 18m + (-7 * -1 + m * -1) = -16
-72 + 18m + (7 + -1m) = -16

Reorder the terms:
-72 + 7 + 18m + -1m = -16

Combine like terms: -72 + 7 = -65
-65 + 18m + -1m = -16

Combine like terms: 18m + -1m = 17m
-65 + 17m = -16

Solving
-65 + 17m = -16

Solving for variable 'm'.

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

Add '65' to each side of the equation.
-65 + 65 + 17m = -16 + 65

Combine like terms: -65 + 65 = 0
0 + 17m = -16 + 65
17m = -16 + 65

Combine like terms: -16 + 65 = 49
17m = 49

Divide each side by '17'.
m = 2.882352941

Simplifying
m = 2.882352941