5(n-4)-(6-7n)=11n

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Solution for 5(n-4)-(6-7n)=11n equation:


Simplifying
5(n + -4) + -1(6 + -7n) = 11n

Reorder the terms:
5(-4 + n) + -1(6 + -7n) = 11n
(-4 * 5 + n * 5) + -1(6 + -7n) = 11n
(-20 + 5n) + -1(6 + -7n) = 11n
-20 + 5n + (6 * -1 + -7n * -1) = 11n
-20 + 5n + (-6 + 7n) = 11n

Reorder the terms:
-20 + -6 + 5n + 7n = 11n

Combine like terms: -20 + -6 = -26
-26 + 5n + 7n = 11n

Combine like terms: 5n + 7n = 12n
-26 + 12n = 11n

Solving
-26 + 12n = 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.
-26 + 12n + -11n = 11n + -11n

Combine like terms: 12n + -11n = 1n
-26 + 1n = 11n + -11n

Combine like terms: 11n + -11n = 0
-26 + 1n = 0

Add '26' to each side of the equation.
-26 + 26 + 1n = 0 + 26

Combine like terms: -26 + 26 = 0
0 + 1n = 0 + 26
1n = 0 + 26

Combine like terms: 0 + 26 = 26
1n = 26

Divide each side by '1'.
n = 26

Simplifying
n = 26

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