7-(2n-8)=5-3n

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Solution for 7-(2n-8)=5-3n equation: 


Simplifying
7 + -1(2n + -8) = 5 + -3n

Reorder the terms:
7 + -1(-8 + 2n) = 5 + -3n
7 + (-8 * -1 + 2n * -1) = 5 + -3n
7 + (8 + -2n) = 5 + -3n

Combine like terms: 7 + 8 = 15
15 + -2n = 5 + -3n

Solving
15 + -2n = 5 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
15 + -2n + 3n = 5 + -3n + 3n

Combine like terms: -2n + 3n = 1n
15 + 1n = 5 + -3n + 3n

Combine like terms: -3n + 3n = 0
15 + 1n = 5 + 0
15 + 1n = 5

Add '-15' to each side of the equation.
15 + -15 + 1n = 5 + -15

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

Combine like terms: 5 + -15 = -10
1n = -10

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

Simplifying
n = -10

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