2m(n+3)+m(7-n)=

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Solution for 2m(n+3)+m(7-n)= equation: 


Simplifying
2m(n + 3) + m(7 + -1n) = 0

Reorder the terms:
2m(3 + n) + m(7 + -1n) = 0
(3 * 2m + n * 2m) + m(7 + -1n) = 0
(6m + 2mn) + m(7 + -1n) = 0
6m + 2mn + (7 * m + -1n * m) = 0
6m + 2mn + (7m + -1mn) = 0

Reorder the terms:
6m + 7m + 2mn + -1mn = 0

Combine like terms: 6m + 7m = 13m
13m + 2mn + -1mn = 0

Combine like terms: 2mn + -1mn = 1mn
13m + 1mn = 0

Solving
13m + 1mn = 0

Solving for variable 'm'.

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

Factor out the Greatest Common Factor (GCF), 'm'.
m(13 + n) = 0


Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(13 + n)' equal to zero and attempt to solve:

Simplifying
13 + n = 0

Solving
13 + n = 0

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

Add '-13' to each side of the equation.
13 + -13 + n = 0 + -13

Combine like terms: 13 + -13 = 0
0 + n = 0 + -13
n = 0 + -13

Combine like terms: 0 + -13 = -13
n = -13

Add '-1n' to each side of the equation.
n + -1n = -13 + -1n

Combine like terms: n + -1n = 0
0 = -13 + -1n

Simplifying
0 = -13 + -1n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}

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