-9[n-4]=-7n-[4n-30]

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Solution for -9[n-4]=-7n-[4n-30] equation:


Simplifying
-9[n + -4] = -7n + -1[4n + -30]

Reorder the terms:
-9[-4 + n] = -7n + -1[4n + -30]
[-4 * -9 + n * -9] = -7n + -1[4n + -30]
[36 + -9n] = -7n + -1[4n + -30]

Reorder the terms:
36 + -9n = -7n + -1[-30 + 4n]
36 + -9n = -7n + [-30 * -1 + 4n * -1]
36 + -9n = -7n + [30 + -4n]

Reorder the terms:
36 + -9n = 30 + -7n + -4n

Combine like terms: -7n + -4n = -11n
36 + -9n = 30 + -11n

Solving
36 + -9n = 30 + -11n

Solving for variable 'n'.

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

Add '11n' to each side of the equation.
36 + -9n + 11n = 30 + -11n + 11n

Combine like terms: -9n + 11n = 2n
36 + 2n = 30 + -11n + 11n

Combine like terms: -11n + 11n = 0
36 + 2n = 30 + 0
36 + 2n = 30

Add '-36' to each side of the equation.
36 + -36 + 2n = 30 + -36

Combine like terms: 36 + -36 = 0
0 + 2n = 30 + -36
2n = 30 + -36

Combine like terms: 30 + -36 = -6
2n = -6

Divide each side by '2'.
n = -3

Simplifying
n = -3

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