m+(r-5)-2m-(m+5)=m+r+5

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Solution for m+(r-5)-2m-(m+5)=m+r+5 equation: 


Simplifying
m + (r + -5) + -2m + -1(m + 5) = m + r + 5

Reorder the terms:
m + (-5 + r) + -2m + -1(m + 5) = m + r + 5

Remove parenthesis around (-5 + r)
m + -5 + r + -2m + -1(m + 5) = m + r + 5

Reorder the terms:
m + -5 + r + -2m + -1(5 + m) = m + r + 5
m + -5 + r + -2m + (5 * -1 + m * -1) = m + r + 5
m + -5 + r + -2m + (-5 + -1m) = m + r + 5

Reorder the terms:
-5 + -5 + m + -2m + -1m + r = m + r + 5

Combine like terms: -5 + -5 = -10
-10 + m + -2m + -1m + r = m + r + 5

Combine like terms: m + -2m = -1m
-10 + -1m + -1m + r = m + r + 5

Combine like terms: -1m + -1m = -2m
-10 + -2m + r = m + r + 5

Reorder the terms:
-10 + -2m + r = 5 + m + r

Add '-1r' to each side of the equation.
-10 + -2m + r + -1r = 5 + m + r + -1r

Combine like terms: r + -1r = 0
-10 + -2m + 0 = 5 + m + r + -1r
-10 + -2m = 5 + m + r + -1r

Combine like terms: r + -1r = 0
-10 + -2m = 5 + m + 0
-10 + -2m = 5 + m

Solving
-10 + -2m = 5 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
-10 + -2m + -1m = 5 + m + -1m

Combine like terms: -2m + -1m = -3m
-10 + -3m = 5 + m + -1m

Combine like terms: m + -1m = 0
-10 + -3m = 5 + 0
-10 + -3m = 5

Add '10' to each side of the equation.
-10 + 10 + -3m = 5 + 10

Combine like terms: -10 + 10 = 0
0 + -3m = 5 + 10
-3m = 5 + 10

Combine like terms: 5 + 10 = 15
-3m = 15

Divide each side by '-3'.
m = -5

Simplifying
m = -5

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