8-(4n-9)=2-5n

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Solution for 8-(4n-9)=2-5n equation:


Simplifying
8 + -1(4n + -9) = 2 + -5n

Reorder the terms:
8 + -1(-9 + 4n) = 2 + -5n
8 + (-9 * -1 + 4n * -1) = 2 + -5n
8 + (9 + -4n) = 2 + -5n

Combine like terms: 8 + 9 = 17
17 + -4n = 2 + -5n

Solving
17 + -4n = 2 + -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.
17 + -4n + 5n = 2 + -5n + 5n

Combine like terms: -4n + 5n = 1n
17 + 1n = 2 + -5n + 5n

Combine like terms: -5n + 5n = 0
17 + 1n = 2 + 0
17 + 1n = 2

Add '-17' to each side of the equation.
17 + -17 + 1n = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 1n = 2 + -17
1n = 2 + -17

Combine like terms: 2 + -17 = -15
1n = -15

Divide each side by '1'.
n = -15

Simplifying
n = -15

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