30-9(2n+4)=4(7n+2)-11n

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Solution for 30-9(2n+4)=4(7n+2)-11n equation:


Simplifying
30 + -9(2n + 4) = 4(7n + 2) + -11n

Reorder the terms:
30 + -9(4 + 2n) = 4(7n + 2) + -11n
30 + (4 * -9 + 2n * -9) = 4(7n + 2) + -11n
30 + (-36 + -18n) = 4(7n + 2) + -11n

Combine like terms: 30 + -36 = -6
-6 + -18n = 4(7n + 2) + -11n

Reorder the terms:
-6 + -18n = 4(2 + 7n) + -11n
-6 + -18n = (2 * 4 + 7n * 4) + -11n
-6 + -18n = (8 + 28n) + -11n

Combine like terms: 28n + -11n = 17n
-6 + -18n = 8 + 17n

Solving
-6 + -18n = 8 + 17n

Solving for variable 'n'.

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

Add '-17n' to each side of the equation.
-6 + -18n + -17n = 8 + 17n + -17n

Combine like terms: -18n + -17n = -35n
-6 + -35n = 8 + 17n + -17n

Combine like terms: 17n + -17n = 0
-6 + -35n = 8 + 0
-6 + -35n = 8

Add '6' to each side of the equation.
-6 + 6 + -35n = 8 + 6

Combine like terms: -6 + 6 = 0
0 + -35n = 8 + 6
-35n = 8 + 6

Combine like terms: 8 + 6 = 14
-35n = 14

Divide each side by '-35'.
n = -0.4

Simplifying
n = -0.4

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