7-(4n-8)=7-5n

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Solution for 7-(4n-8)=7-5n equation: 


Simplifying
7 + -1(4n + -8) = 7 + -5n

Reorder the terms:
7 + -1(-8 + 4n) = 7 + -5n
7 + (-8 * -1 + 4n * -1) = 7 + -5n
7 + (8 + -4n) = 7 + -5n

Combine like terms: 7 + 8 = 15
15 + -4n = 7 + -5n

Solving
15 + -4n = 7 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
15 + -4n + 5n = 7 + -5n + 5n

Combine like terms: -4n + 5n = 1n
15 + 1n = 7 + -5n + 5n

Combine like terms: -5n + 5n = 0
15 + 1n = 7 + 0
15 + 1n = 7

Add '-15' to each side of the equation.
15 + -15 + 1n = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 1n = 7 + -15
1n = 7 + -15

Combine like terms: 7 + -15 = -8
1n = -8

Divide each side by '1'.
n = -8

Simplifying
n = -8

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