-6m+76-2(M-3)=9M-(2M-3)-4M+2

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Solution for -6m+76-2(M-3)=9M-(2M-3)-4M+2 equation: 


Simplifying
-6m + 76 + -2(M + -3) = 9M + -1(2M + -3) + -4M + 2

Reorder the terms:
-6m + 76 + -2(-3 + M) = 9M + -1(2M + -3) + -4M + 2
-6m + 76 + (-3 * -2 + M * -2) = 9M + -1(2M + -3) + -4M + 2
-6m + 76 + (6 + -2M) = 9M + -1(2M + -3) + -4M + 2

Reorder the terms:
76 + 6 + -2M + -6m = 9M + -1(2M + -3) + -4M + 2

Combine like terms: 76 + 6 = 82
82 + -2M + -6m = 9M + -1(2M + -3) + -4M + 2

Reorder the terms:
82 + -2M + -6m = 9M + -1(-3 + 2M) + -4M + 2
82 + -2M + -6m = 9M + (-3 * -1 + 2M * -1) + -4M + 2
82 + -2M + -6m = 9M + (3 + -2M) + -4M + 2

Reorder the terms:
82 + -2M + -6m = 3 + 2 + 9M + -2M + -4M

Combine like terms: 3 + 2 = 5
82 + -2M + -6m = 5 + 9M + -2M + -4M

Combine like terms: 9M + -2M = 7M
82 + -2M + -6m = 5 + 7M + -4M

Combine like terms: 7M + -4M = 3M
82 + -2M + -6m = 5 + 3M

Solving
82 + -2M + -6m = 5 + 3M

Solving for variable 'M'.

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

Add '-3M' to each side of the equation.
82 + -2M + -3M + -6m = 5 + 3M + -3M

Combine like terms: -2M + -3M = -5M
82 + -5M + -6m = 5 + 3M + -3M

Combine like terms: 3M + -3M = 0
82 + -5M + -6m = 5 + 0
82 + -5M + -6m = 5

Add '-82' to each side of the equation.
82 + -5M + -82 + -6m = 5 + -82

Reorder the terms:
82 + -82 + -5M + -6m = 5 + -82

Combine like terms: 82 + -82 = 0
0 + -5M + -6m = 5 + -82
-5M + -6m = 5 + -82

Combine like terms: 5 + -82 = -77
-5M + -6m = -77

Add '6m' to each side of the equation.
-5M + -6m + 6m = -77 + 6m

Combine like terms: -6m + 6m = 0
-5M + 0 = -77 + 6m
-5M = -77 + 6m

Divide each side by '-5'.
M = 15.4 + -1.2m

Simplifying
M = 15.4 + -1.2m

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