4(n-3)=2-3n

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


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

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

Solving
-12 + 4n = 2 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-12 + 4n + 3n = 2 + -3n + 3n

Combine like terms: 4n + 3n = 7n
-12 + 7n = 2 + -3n + 3n

Combine like terms: -3n + 3n = 0
-12 + 7n = 2 + 0
-12 + 7n = 2

Add '12' to each side of the equation.
-12 + 12 + 7n = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 7n = 2 + 12
7n = 2 + 12

Combine like terms: 2 + 12 = 14
7n = 14

Divide each side by '7'.
n = 2

Simplifying
n = 2

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