(5m-n+1)-(10-m-n)=

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Solution for (5m-n+1)-(10-m-n)= equation:


Simplifying
(5m + -1n + 1) + -1(10 + -1m + -1n) = 0

Reorder the terms:
(1 + 5m + -1n) + -1(10 + -1m + -1n) = 0

Remove parenthesis around (1 + 5m + -1n)
1 + 5m + -1n + -1(10 + -1m + -1n) = 0
1 + 5m + -1n + (10 * -1 + -1m * -1 + -1n * -1) = 0
1 + 5m + -1n + (-10 + 1m + 1n) = 0

Reorder the terms:
1 + -10 + 5m + 1m + -1n + 1n = 0

Combine like terms: 1 + -10 = -9
-9 + 5m + 1m + -1n + 1n = 0

Combine like terms: 5m + 1m = 6m
-9 + 6m + -1n + 1n = 0

Combine like terms: -1n + 1n = 0
-9 + 6m + 0 = 0
-9 + 6m = 0

Solving
-9 + 6m = 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 + 9 + 6m = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 6m = 0 + 9
6m = 0 + 9

Combine like terms: 0 + 9 = 9
6m = 9

Divide each side by '6'.
m = 1.5

Simplifying
m = 1.5

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