75-7(m-1)=3(6m-2)

Solution for 75-7(m-1)=3(6m-2) equation:

Simplifying
75 + -7(m + -1) = 3(6m + -2)

Reorder the terms:
75 + -7(-1 + m) = 3(6m + -2)
75 + (-1 * -7 + m * -7) = 3(6m + -2)
75 + (7 + -7m) = 3(6m + -2)

Combine like terms: 75 + 7 = 82
82 + -7m = 3(6m + -2)

Reorder the terms:
82 + -7m = 3(-2 + 6m)
82 + -7m = (-2 * 3 + 6m * 3)
82 + -7m = (-6 + 18m)

Solving
82 + -7m = -6 + 18m

Solving for variable 'm'.

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

Add '-18m' to each side of the equation.
82 + -7m + -18m = -6 + 18m + -18m

Combine like terms: -7m + -18m = -25m
82 + -25m = -6 + 18m + -18m

Combine like terms: 18m + -18m = 0
82 + -25m = -6 + 0
82 + -25m = -6

Add '-82' to each side of the equation.
82 + -82 + -25m = -6 + -82

Combine like terms: 82 + -82 = 0
0 + -25m = -6 + -82
-25m = -6 + -82

Combine like terms: -6 + -82 = -88
-25m = -88

Divide each side by '-25'.
m = 3.52

Simplifying
m = 3.52