10-(4n-9)=5-5n

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Solution for 10-(4n-9)=5-5n equation: 


Simplifying
10 + -1(4n + -9) = 5 + -5n

Reorder the terms:
10 + -1(-9 + 4n) = 5 + -5n
10 + (-9 * -1 + 4n * -1) = 5 + -5n
10 + (9 + -4n) = 5 + -5n

Combine like terms: 10 + 9 = 19
19 + -4n = 5 + -5n

Solving
19 + -4n = 5 + -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.
19 + -4n + 5n = 5 + -5n + 5n

Combine like terms: -4n + 5n = 1n
19 + 1n = 5 + -5n + 5n

Combine like terms: -5n + 5n = 0
19 + 1n = 5 + 0
19 + 1n = 5

Add '-19' to each side of the equation.
19 + -19 + 1n = 5 + -19

Combine like terms: 19 + -19 = 0
0 + 1n = 5 + -19
1n = 5 + -19

Combine like terms: 5 + -19 = -14
1n = -14

Divide each side by '1'.
n = -14

Simplifying
n = -14

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