5(n-2)-(3-7n)=11n

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Solution for 5(n-2)-(3-7n)=11n equation:


Simplifying
5(n + -2) + -1(3 + -7n) = 11n

Reorder the terms:
5(-2 + n) + -1(3 + -7n) = 11n
(-2 * 5 + n * 5) + -1(3 + -7n) = 11n
(-10 + 5n) + -1(3 + -7n) = 11n
-10 + 5n + (3 * -1 + -7n * -1) = 11n
-10 + 5n + (-3 + 7n) = 11n

Reorder the terms:
-10 + -3 + 5n + 7n = 11n

Combine like terms: -10 + -3 = -13
-13 + 5n + 7n = 11n

Combine like terms: 5n + 7n = 12n
-13 + 12n = 11n

Solving
-13 + 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.
-13 + 12n + -11n = 11n + -11n

Combine like terms: 12n + -11n = 1n
-13 + 1n = 11n + -11n

Combine like terms: 11n + -11n = 0
-13 + 1n = 0

Add '13' to each side of the equation.
-13 + 13 + 1n = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 1n = 0 + 13
1n = 0 + 13

Combine like terms: 0 + 13 = 13
1n = 13

Divide each side by '1'.
n = 13

Simplifying
n = 13

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