7-2n=8n-(-4n)+2n

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Solution for 7-2n=8n-(-4n)+2n equation:


Simplifying
7 + -2n = 8n + -1(-4n) + 2n

Remove parenthesis around (-4n)
7 + -2n = 8n + -1 * -4n + 2n

Multiply -1 * -4
7 + -2n = 8n + 4n + 2n

Combine like terms: 8n + 4n = 12n
7 + -2n = 12n + 2n

Combine like terms: 12n + 2n = 14n
7 + -2n = 14n

Solving
7 + -2n = 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
7 + -2n + -14n = 14n + -14n

Combine like terms: -2n + -14n = -16n
7 + -16n = 14n + -14n

Combine like terms: 14n + -14n = 0
7 + -16n = 0

Add '-7' to each side of the equation.
7 + -7 + -16n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -16n = 0 + -7
-16n = 0 + -7

Combine like terms: 0 + -7 = -7
-16n = -7

Divide each side by '-16'.
n = 0.4375

Simplifying
n = 0.4375

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