7(n-3)-(5-6n)=12n

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Solution for 7(n-3)-(5-6n)=12n equation:


Simplifying
7(n + -3) + -1(5 + -6n) = 12n

Reorder the terms:
7(-3 + n) + -1(5 + -6n) = 12n
(-3 * 7 + n * 7) + -1(5 + -6n) = 12n
(-21 + 7n) + -1(5 + -6n) = 12n
-21 + 7n + (5 * -1 + -6n * -1) = 12n
-21 + 7n + (-5 + 6n) = 12n

Reorder the terms:
-21 + -5 + 7n + 6n = 12n

Combine like terms: -21 + -5 = -26
-26 + 7n + 6n = 12n

Combine like terms: 7n + 6n = 13n
-26 + 13n = 12n

Solving
-26 + 13n = 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
-26 + 13n + -12n = 12n + -12n

Combine like terms: 13n + -12n = 1n
-26 + 1n = 12n + -12n

Combine like terms: 12n + -12n = 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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