2m-(m-n)-(y+2z)+(3a+b)=

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Solution for 2m-(m-n)-(y+2z)+(3a+b)= equation: 


Simplifying
2m + -1(m + -1n) + -1(y + 2z) + (3a + b) = 0
2m + (m * -1 + -1n * -1) + -1(y + 2z) + (3a + b) = 0
2m + (-1m + 1n) + -1(y + 2z) + (3a + b) = 0
2m + -1m + 1n + (y * -1 + 2z * -1) + (3a + b) = 0
2m + -1m + 1n + (-1y + -2z) + (3a + b) = 0

Remove parenthesis around (3a + b)
2m + -1m + 1n + -1y + -2z + 3a + b = 0

Reorder the terms:
3a + b + 2m + -1m + 1n + -1y + -2z = 0

Combine like terms: 2m + -1m = 1m
3a + b + 1m + 1n + -1y + -2z = 0

Solving
3a + b + 1m + 1n + -1y + -2z = 0

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
3a + b + 1m + 1n + -1y + -1b + -2z = 0 + -1b

Reorder the terms:
3a + b + -1b + 1m + 1n + -1y + -2z = 0 + -1b

Combine like terms: b + -1b = 0
3a + 0 + 1m + 1n + -1y + -2z = 0 + -1b
3a + 1m + 1n + -1y + -2z = 0 + -1b
Remove the zero:
3a + 1m + 1n + -1y + -2z = -1b

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

Reorder the terms:
3a + 1m + -1m + 1n + -1y + -2z = -1b + -1m

Combine like terms: 1m + -1m = 0
3a + 0 + 1n + -1y + -2z = -1b + -1m
3a + 1n + -1y + -2z = -1b + -1m

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

Reorder the terms:
3a + 1n + -1n + -1y + -2z = -1b + -1m + -1n

Combine like terms: 1n + -1n = 0
3a + 0 + -1y + -2z = -1b + -1m + -1n
3a + -1y + -2z = -1b + -1m + -1n

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

Combine like terms: -1y + y = 0
3a + 0 + -2z = -1b + -1m + -1n + y
3a + -2z = -1b + -1m + -1n + y

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

Combine like terms: -2z + 2z = 0
3a + 0 = -1b + -1m + -1n + y + 2z
3a = -1b + -1m + -1n + y + 2z

Divide each side by '3'.
a = -0.3333333333b + -0.3333333333m + -0.3333333333n + 0.3333333333y + 0.6666666667z

Simplifying
a = -0.3333333333b + -0.3333333333m + -0.3333333333n + 0.3333333333y + 0.6666666667z

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