(2n-4)-(4n-3)=a

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Solution for (2n-4)-(4n-3)=a equation:


Simplifying
(2n + -4) + -1(4n + -3) = a

Reorder the terms:
(-4 + 2n) + -1(4n + -3) = a

Remove parenthesis around (-4 + 2n)
-4 + 2n + -1(4n + -3) = a

Reorder the terms:
-4 + 2n + -1(-3 + 4n) = a
-4 + 2n + (-3 * -1 + 4n * -1) = a
-4 + 2n + (3 + -4n) = a

Reorder the terms:
-4 + 3 + 2n + -4n = a

Combine like terms: -4 + 3 = -1
-1 + 2n + -4n = a

Combine like terms: 2n + -4n = -2n
-1 + -2n = a

Solving
-1 + -2n = a

Solving for variable 'n'.

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

Add '1' to each side of the equation.
-1 + 1 + -2n = 1 + a

Combine like terms: -1 + 1 = 0
0 + -2n = 1 + a
-2n = 1 + a

Divide each side by '-2'.
n = -0.5 + -0.5a

Simplifying
n = -0.5 + -0.5a

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