6(2n-5)=3(7-3n)+2n

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Solution for 6(2n-5)=3(7-3n)+2n equation: 


Simplifying
6(2n + -5) = 3(7 + -3n) + 2n

Reorder the terms:
6(-5 + 2n) = 3(7 + -3n) + 2n
(-5 * 6 + 2n * 6) = 3(7 + -3n) + 2n
(-30 + 12n) = 3(7 + -3n) + 2n
-30 + 12n = (7 * 3 + -3n * 3) + 2n
-30 + 12n = (21 + -9n) + 2n

Combine like terms: -9n + 2n = -7n
-30 + 12n = 21 + -7n

Solving
-30 + 12n = 21 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
-30 + 12n + 7n = 21 + -7n + 7n

Combine like terms: 12n + 7n = 19n
-30 + 19n = 21 + -7n + 7n

Combine like terms: -7n + 7n = 0
-30 + 19n = 21 + 0
-30 + 19n = 21

Add '30' to each side of the equation.
-30 + 30 + 19n = 21 + 30

Combine like terms: -30 + 30 = 0
0 + 19n = 21 + 30
19n = 21 + 30

Combine like terms: 21 + 30 = 51
19n = 51

Divide each side by '19'.
n = 2.684210526

Simplifying
n = 2.684210526

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