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

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


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

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

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

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

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

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

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

Combine like terms: 2m + m = 3m
-10 + M + -3m + r = 3m

Solving
-10 + M + -3m + r = 3m

Solving for variable 'M'.

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

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

Reorder the terms:
-10 + 10 + M + -3m + r = 10 + 3m

Combine like terms: -10 + 10 = 0
0 + M + -3m + r = 10 + 3m
M + -3m + r = 10 + 3m

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

Combine like terms: -3m + 3m = 0
M + 0 + r = 10 + 3m + 3m
M + r = 10 + 3m + 3m

Combine like terms: 3m + 3m = 6m
M + r = 10 + 6m

Add '-1r' to each side of the equation.
M + r + -1r = 10 + 6m + -1r

Combine like terms: r + -1r = 0
M + 0 = 10 + 6m + -1r
M = 10 + 6m + -1r

Simplifying
M = 10 + 6m + -1r

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