4(n-2)-(6-3n)=6n

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Solution for 4(n-2)-(6-3n)=6n equation:


Simplifying
4(n + -2) + -1(6 + -3n) = 6n

Reorder the terms:
4(-2 + n) + -1(6 + -3n) = 6n
(-2 * 4 + n * 4) + -1(6 + -3n) = 6n
(-8 + 4n) + -1(6 + -3n) = 6n
-8 + 4n + (6 * -1 + -3n * -1) = 6n
-8 + 4n + (-6 + 3n) = 6n

Reorder the terms:
-8 + -6 + 4n + 3n = 6n

Combine like terms: -8 + -6 = -14
-14 + 4n + 3n = 6n

Combine like terms: 4n + 3n = 7n
-14 + 7n = 6n

Solving
-14 + 7n = 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-14 + 7n + -6n = 6n + -6n

Combine like terms: 7n + -6n = 1n
-14 + 1n = 6n + -6n

Combine like terms: 6n + -6n = 0
-14 + 1n = 0

Add '14' to each side of the equation.
-14 + 14 + 1n = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 1n = 0 + 14
1n = 0 + 14

Combine like terms: 0 + 14 = 14
1n = 14

Divide each side by '1'.
n = 14

Simplifying
n = 14

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