(2n-5)+(-m-2)1=3-7(1)

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Solution for (2n-5)+(-m-2)1=3-7(1) equation:


Simplifying
(2n + -5) + (-1m + -2) * 1 = 3 + -7(1)

Reorder the terms:
(-5 + 2n) + (-1m + -2) * 1 = 3 + -7(1)

Remove parenthesis around (-5 + 2n)
-5 + 2n + (-1m + -2) * 1 = 3 + -7(1)

Reorder the terms:
-5 + 2n + (-2 + -1m) * 1 = 3 + -7(1)

Reorder the terms for easier multiplication:
-5 + 2n + 1(-2 + -1m) = 3 + -7(1)
-5 + 2n + (-2 * 1 + -1m * 1) = 3 + -7(1)
-5 + 2n + (-2 + -1m) = 3 + -7(1)

Reorder the terms:
-5 + -2 + -1m + 2n = 3 + -7(1)

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

Multiply -7 * 1
-7 + -1m + 2n = 3 + -7

Combine like terms: 3 + -7 = -4
-7 + -1m + 2n = -4

Solving
-7 + -1m + 2n = -4

Solving for variable 'm'.

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

Add '7' to each side of the equation.
-7 + -1m + 7 + 2n = -4 + 7

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

Combine like terms: -7 + 7 = 0
0 + -1m + 2n = -4 + 7
-1m + 2n = -4 + 7

Combine like terms: -4 + 7 = 3
-1m + 2n = 3

Add '-2n' to each side of the equation.
-1m + 2n + -2n = 3 + -2n

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

Divide each side by '-1'.
m = -3 + 2n

Simplifying
m = -3 + 2n

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