3(n-4)-2(4-3n)=7

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Solution for 3(n-4)-2(4-3n)=7 equation: 


Simplifying
3(n + -4) + -2(4 + -3n) = 7

Reorder the terms:
3(-4 + n) + -2(4 + -3n) = 7
(-4 * 3 + n * 3) + -2(4 + -3n) = 7
(-12 + 3n) + -2(4 + -3n) = 7
-12 + 3n + (4 * -2 + -3n * -2) = 7
-12 + 3n + (-8 + 6n) = 7

Reorder the terms:
-12 + -8 + 3n + 6n = 7

Combine like terms: -12 + -8 = -20
-20 + 3n + 6n = 7

Combine like terms: 3n + 6n = 9n
-20 + 9n = 7

Solving
-20 + 9n = 7

Solving for variable 'n'.

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

Add '20' to each side of the equation.
-20 + 20 + 9n = 7 + 20

Combine like terms: -20 + 20 = 0
0 + 9n = 7 + 20
9n = 7 + 20

Combine like terms: 7 + 20 = 27
9n = 27

Divide each side by '9'.
n = 3

Simplifying
n = 3

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