-3m-6-2(m-2)=2m-(4m-9)-7m+1

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Solution for -3m-6-2(m-2)=2m-(4m-9)-7m+1 equation:


Simplifying
-3m + -6 + -2(m + -2) = 2m + -1(4m + -9) + -7m + 1

Reorder the terms:
-3m + -6 + -2(-2 + m) = 2m + -1(4m + -9) + -7m + 1
-3m + -6 + (-2 * -2 + m * -2) = 2m + -1(4m + -9) + -7m + 1
-3m + -6 + (4 + -2m) = 2m + -1(4m + -9) + -7m + 1

Reorder the terms:
-6 + 4 + -3m + -2m = 2m + -1(4m + -9) + -7m + 1

Combine like terms: -6 + 4 = -2
-2 + -3m + -2m = 2m + -1(4m + -9) + -7m + 1

Combine like terms: -3m + -2m = -5m
-2 + -5m = 2m + -1(4m + -9) + -7m + 1

Reorder the terms:
-2 + -5m = 2m + -1(-9 + 4m) + -7m + 1
-2 + -5m = 2m + (-9 * -1 + 4m * -1) + -7m + 1
-2 + -5m = 2m + (9 + -4m) + -7m + 1

Reorder the terms:
-2 + -5m = 9 + 1 + 2m + -4m + -7m

Combine like terms: 9 + 1 = 10
-2 + -5m = 10 + 2m + -4m + -7m

Combine like terms: 2m + -4m = -2m
-2 + -5m = 10 + -2m + -7m

Combine like terms: -2m + -7m = -9m
-2 + -5m = 10 + -9m

Solving
-2 + -5m = 10 + -9m

Solving for variable 'm'.

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

Add '9m' to each side of the equation.
-2 + -5m + 9m = 10 + -9m + 9m

Combine like terms: -5m + 9m = 4m
-2 + 4m = 10 + -9m + 9m

Combine like terms: -9m + 9m = 0
-2 + 4m = 10 + 0
-2 + 4m = 10

Add '2' to each side of the equation.
-2 + 2 + 4m = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 4m = 10 + 2
4m = 10 + 2

Combine like terms: 10 + 2 = 12
4m = 12

Divide each side by '4'.
m = 3

Simplifying
m = 3

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