27(-n-32)-2(n+17)=13n-30+32n

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Solution for 27(-n-32)-2(n+17)=13n-30+32n equation: 


Simplifying
27(-1n + -32) + -2(n + 17) = 13n + -30 + 32n

Reorder the terms:
27(-32 + -1n) + -2(n + 17) = 13n + -30 + 32n
(-32 * 27 + -1n * 27) + -2(n + 17) = 13n + -30 + 32n
(-864 + -27n) + -2(n + 17) = 13n + -30 + 32n

Reorder the terms:
-864 + -27n + -2(17 + n) = 13n + -30 + 32n
-864 + -27n + (17 * -2 + n * -2) = 13n + -30 + 32n
-864 + -27n + (-34 + -2n) = 13n + -30 + 32n

Reorder the terms:
-864 + -34 + -27n + -2n = 13n + -30 + 32n

Combine like terms: -864 + -34 = -898
-898 + -27n + -2n = 13n + -30 + 32n

Combine like terms: -27n + -2n = -29n
-898 + -29n = 13n + -30 + 32n

Reorder the terms:
-898 + -29n = -30 + 13n + 32n

Combine like terms: 13n + 32n = 45n
-898 + -29n = -30 + 45n

Solving
-898 + -29n = -30 + 45n

Solving for variable 'n'.

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

Add '-45n' to each side of the equation.
-898 + -29n + -45n = -30 + 45n + -45n

Combine like terms: -29n + -45n = -74n
-898 + -74n = -30 + 45n + -45n

Combine like terms: 45n + -45n = 0
-898 + -74n = -30 + 0
-898 + -74n = -30

Add '898' to each side of the equation.
-898 + 898 + -74n = -30 + 898

Combine like terms: -898 + 898 = 0
0 + -74n = -30 + 898
-74n = -30 + 898

Combine like terms: -30 + 898 = 868
-74n = 868

Divide each side by '-74'.
n = -11.72972973

Simplifying
n = -11.72972973

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