8-(3n-9)=1-4n

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Solution for 8-(3n-9)=1-4n equation:


Simplifying
8 + -1(3n + -9) = 1 + -4n

Reorder the terms:
8 + -1(-9 + 3n) = 1 + -4n
8 + (-9 * -1 + 3n * -1) = 1 + -4n
8 + (9 + -3n) = 1 + -4n

Combine like terms: 8 + 9 = 17
17 + -3n = 1 + -4n

Solving
17 + -3n = 1 + -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.
17 + -3n + 4n = 1 + -4n + 4n

Combine like terms: -3n + 4n = 1n
17 + 1n = 1 + -4n + 4n

Combine like terms: -4n + 4n = 0
17 + 1n = 1 + 0
17 + 1n = 1

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

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

Combine like terms: 1 + -17 = -16
1n = -16

Divide each side by '1'.
n = -16

Simplifying
n = -16

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