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

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


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

Reorder the terms:
5(-3 + n) + -1(2 + -7n) = 11n
(-3 * 5 + n * 5) + -1(2 + -7n) = 11n
(-15 + 5n) + -1(2 + -7n) = 11n
-15 + 5n + (2 * -1 + -7n * -1) = 11n
-15 + 5n + (-2 + 7n) = 11n

Reorder the terms:
-15 + -2 + 5n + 7n = 11n

Combine like terms: -15 + -2 = -17
-17 + 5n + 7n = 11n

Combine like terms: 5n + 7n = 12n
-17 + 12n = 11n

Solving
-17 + 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.
-17 + 12n + -11n = 11n + -11n

Combine like terms: 12n + -11n = 1n
-17 + 1n = 11n + -11n

Combine like terms: 11n + -11n = 0
-17 + 1n = 0

Add '17' to each side of the equation.
-17 + 17 + 1n = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 1n = 0 + 17
1n = 0 + 17

Combine like terms: 0 + 17 = 17
1n = 17

Divide each side by '1'.
n = 17

Simplifying
n = 17

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