10-(4n-8)=8-5n

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Solution for 10-(4n-8)=8-5n equation:


Simplifying
10 + -1(4n + -8) = 8 + -5n

Reorder the terms:
10 + -1(-8 + 4n) = 8 + -5n
10 + (-8 * -1 + 4n * -1) = 8 + -5n
10 + (8 + -4n) = 8 + -5n

Combine like terms: 10 + 8 = 18
18 + -4n = 8 + -5n

Solving
18 + -4n = 8 + -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.
18 + -4n + 5n = 8 + -5n + 5n

Combine like terms: -4n + 5n = 1n
18 + 1n = 8 + -5n + 5n

Combine like terms: -5n + 5n = 0
18 + 1n = 8 + 0
18 + 1n = 8

Add '-18' to each side of the equation.
18 + -18 + 1n = 8 + -18

Combine like terms: 18 + -18 = 0
0 + 1n = 8 + -18
1n = 8 + -18

Combine like terms: 8 + -18 = -10
1n = -10

Divide each side by '1'.
n = -10

Simplifying
n = -10

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