-9(n+4)+10n=-(9+4n)-12

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Solution for -9(n+4)+10n=-(9+4n)-12 equation:


Simplifying
-9(n + 4) + 10n = -1(9 + 4n) + -12

Reorder the terms:
-9(4 + n) + 10n = -1(9 + 4n) + -12
(4 * -9 + n * -9) + 10n = -1(9 + 4n) + -12
(-36 + -9n) + 10n = -1(9 + 4n) + -12

Combine like terms: -9n + 10n = 1n
-36 + 1n = -1(9 + 4n) + -12
-36 + 1n = (9 * -1 + 4n * -1) + -12
-36 + 1n = (-9 + -4n) + -12

Reorder the terms:
-36 + 1n = -9 + -12 + -4n

Combine like terms: -9 + -12 = -21
-36 + 1n = -21 + -4n

Solving
-36 + 1n = -21 + -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.
-36 + 1n + 4n = -21 + -4n + 4n

Combine like terms: 1n + 4n = 5n
-36 + 5n = -21 + -4n + 4n

Combine like terms: -4n + 4n = 0
-36 + 5n = -21 + 0
-36 + 5n = -21

Add '36' to each side of the equation.
-36 + 36 + 5n = -21 + 36

Combine like terms: -36 + 36 = 0
0 + 5n = -21 + 36
5n = -21 + 36

Combine like terms: -21 + 36 = 15
5n = 15

Divide each side by '5'.
n = 3

Simplifying
n = 3

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