3(2(m-5)-3(2m+1))=4(m-2)-2(3m+1)+1

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Solution for 3(2(m-5)-3(2m+1))=4(m-2)-2(3m+1)+1 equation: 


Simplifying
3(2(m + -5) + -3(2m + 1)) = 4(m + -2) + -2(3m + 1) + 1

Reorder the terms:
3(2(-5 + m) + -3(2m + 1)) = 4(m + -2) + -2(3m + 1) + 1
3((-5 * 2 + m * 2) + -3(2m + 1)) = 4(m + -2) + -2(3m + 1) + 1
3((-10 + 2m) + -3(2m + 1)) = 4(m + -2) + -2(3m + 1) + 1

Reorder the terms:
3(-10 + 2m + -3(1 + 2m)) = 4(m + -2) + -2(3m + 1) + 1
3(-10 + 2m + (1 * -3 + 2m * -3)) = 4(m + -2) + -2(3m + 1) + 1
3(-10 + 2m + (-3 + -6m)) = 4(m + -2) + -2(3m + 1) + 1

Reorder the terms:
3(-10 + -3 + 2m + -6m) = 4(m + -2) + -2(3m + 1) + 1

Combine like terms: -10 + -3 = -13
3(-13 + 2m + -6m) = 4(m + -2) + -2(3m + 1) + 1

Combine like terms: 2m + -6m = -4m
3(-13 + -4m) = 4(m + -2) + -2(3m + 1) + 1
(-13 * 3 + -4m * 3) = 4(m + -2) + -2(3m + 1) + 1
(-39 + -12m) = 4(m + -2) + -2(3m + 1) + 1

Reorder the terms:
-39 + -12m = 4(-2 + m) + -2(3m + 1) + 1
-39 + -12m = (-2 * 4 + m * 4) + -2(3m + 1) + 1
-39 + -12m = (-8 + 4m) + -2(3m + 1) + 1

Reorder the terms:
-39 + -12m = -8 + 4m + -2(1 + 3m) + 1
-39 + -12m = -8 + 4m + (1 * -2 + 3m * -2) + 1
-39 + -12m = -8 + 4m + (-2 + -6m) + 1

Reorder the terms:
-39 + -12m = -8 + -2 + 1 + 4m + -6m

Combine like terms: -8 + -2 = -10
-39 + -12m = -10 + 1 + 4m + -6m

Combine like terms: -10 + 1 = -9
-39 + -12m = -9 + 4m + -6m

Combine like terms: 4m + -6m = -2m
-39 + -12m = -9 + -2m

Solving
-39 + -12m = -9 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
-39 + -12m + 2m = -9 + -2m + 2m

Combine like terms: -12m + 2m = -10m
-39 + -10m = -9 + -2m + 2m

Combine like terms: -2m + 2m = 0
-39 + -10m = -9 + 0
-39 + -10m = -9

Add '39' to each side of the equation.
-39 + 39 + -10m = -9 + 39

Combine like terms: -39 + 39 = 0
0 + -10m = -9 + 39
-10m = -9 + 39

Combine like terms: -9 + 39 = 30
-10m = 30

Divide each side by '-10'.
m = -3

Simplifying
m = -3

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