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

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


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

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

Remove parenthesis around (7 + m + 3n)
7 + m + 3n + -1(n + -2) = 0

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

Reorder the terms:
7 + 2 + m + 3n + -1n = 0

Combine like terms: 7 + 2 = 9
9 + m + 3n + -1n = 0

Combine like terms: 3n + -1n = 2n
9 + m + 2n = 0

Solving
9 + m + 2n = 0

Solving for variable 'm'.

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

Add '-9' to each side of the equation.
9 + m + -9 + 2n = 0 + -9

Reorder the terms:
9 + -9 + m + 2n = 0 + -9

Combine like terms: 9 + -9 = 0
0 + m + 2n = 0 + -9
m + 2n = 0 + -9

Combine like terms: 0 + -9 = -9
m + 2n = -9

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

Combine like terms: 2n + -2n = 0
m + 0 = -9 + -2n
m = -9 + -2n

Simplifying
m = -9 + -2n

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