10-(3n-5)=8-4n

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Solution for 10-(3n-5)=8-4n equation:


Simplifying
10 + -1(3n + -5) = 8 + -4n

Reorder the terms:
10 + -1(-5 + 3n) = 8 + -4n
10 + (-5 * -1 + 3n * -1) = 8 + -4n
10 + (5 + -3n) = 8 + -4n

Combine like terms: 10 + 5 = 15
15 + -3n = 8 + -4n

Solving
15 + -3n = 8 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
15 + -3n + 4n = 8 + -4n + 4n

Combine like terms: -3n + 4n = 1n
15 + 1n = 8 + -4n + 4n

Combine like terms: -4n + 4n = 0
15 + 1n = 8 + 0
15 + 1n = 8

Add '-15' to each side of the equation.
15 + -15 + 1n = 8 + -15

Combine like terms: 15 + -15 = 0
0 + 1n = 8 + -15
1n = 8 + -15

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

Divide each side by '1'.
n = -7

Simplifying
n = -7

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