-8m+3-6(m-3)=3m-(9m-2)-4m+3

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Solution for -8m+3-6(m-3)=3m-(9m-2)-4m+3 equation: 


Simplifying
-8m + 3 + -6(m + -3) = 3m + -1(9m + -2) + -4m + 3

Reorder the terms:
-8m + 3 + -6(-3 + m) = 3m + -1(9m + -2) + -4m + 3
-8m + 3 + (-3 * -6 + m * -6) = 3m + -1(9m + -2) + -4m + 3
-8m + 3 + (18 + -6m) = 3m + -1(9m + -2) + -4m + 3

Reorder the terms:
3 + 18 + -8m + -6m = 3m + -1(9m + -2) + -4m + 3

Combine like terms: 3 + 18 = 21
21 + -8m + -6m = 3m + -1(9m + -2) + -4m + 3

Combine like terms: -8m + -6m = -14m
21 + -14m = 3m + -1(9m + -2) + -4m + 3

Reorder the terms:
21 + -14m = 3m + -1(-2 + 9m) + -4m + 3
21 + -14m = 3m + (-2 * -1 + 9m * -1) + -4m + 3
21 + -14m = 3m + (2 + -9m) + -4m + 3

Reorder the terms:
21 + -14m = 2 + 3 + 3m + -9m + -4m

Combine like terms: 2 + 3 = 5
21 + -14m = 5 + 3m + -9m + -4m

Combine like terms: 3m + -9m = -6m
21 + -14m = 5 + -6m + -4m

Combine like terms: -6m + -4m = -10m
21 + -14m = 5 + -10m

Solving
21 + -14m = 5 + -10m

Solving for variable 'm'.

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

Add '10m' to each side of the equation.
21 + -14m + 10m = 5 + -10m + 10m

Combine like terms: -14m + 10m = -4m
21 + -4m = 5 + -10m + 10m

Combine like terms: -10m + 10m = 0
21 + -4m = 5 + 0
21 + -4m = 5

Add '-21' to each side of the equation.
21 + -21 + -4m = 5 + -21

Combine like terms: 21 + -21 = 0
0 + -4m = 5 + -21
-4m = 5 + -21

Combine like terms: 5 + -21 = -16
-4m = -16

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

Simplifying
m = 4

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