(7n+4m+a)-(-3a-7n+m)=

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Solution for (7n+4m+a)-(-3a-7n+m)= equation:


Simplifying
(7n + 4m + a) + -1(-3a + -7n + m) = 0

Reorder the terms:
(a + 4m + 7n) + -1(-3a + -7n + m) = 0

Remove parenthesis around (a + 4m + 7n)
a + 4m + 7n + -1(-3a + -7n + m) = 0

Reorder the terms:
a + 4m + 7n + -1(-3a + m + -7n) = 0
a + 4m + 7n + (-3a * -1 + m * -1 + -7n * -1) = 0
a + 4m + 7n + (3a + -1m + 7n) = 0

Reorder the terms:
a + 3a + 4m + -1m + 7n + 7n = 0

Combine like terms: a + 3a = 4a
4a + 4m + -1m + 7n + 7n = 0

Combine like terms: 4m + -1m = 3m
4a + 3m + 7n + 7n = 0

Combine like terms: 7n + 7n = 14n
4a + 3m + 14n = 0

Solving
4a + 3m + 14n = 0

Solving for variable 'a'.

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

Add '-3m' to each side of the equation.
4a + 3m + -3m + 14n = 0 + -3m

Combine like terms: 3m + -3m = 0
4a + 0 + 14n = 0 + -3m
4a + 14n = 0 + -3m
Remove the zero:
4a + 14n = -3m

Add '-14n' to each side of the equation.
4a + 14n + -14n = -3m + -14n

Combine like terms: 14n + -14n = 0
4a + 0 = -3m + -14n
4a = -3m + -14n

Divide each side by '4'.
a = -0.75m + -3.5n

Simplifying
a = -0.75m + -3.5n

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