3(n-6)-(7-2n)=4n

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Solution for 3(n-6)-(7-2n)=4n equation:


Simplifying
3(n + -6) + -1(7 + -2n) = 4n

Reorder the terms:
3(-6 + n) + -1(7 + -2n) = 4n
(-6 * 3 + n * 3) + -1(7 + -2n) = 4n
(-18 + 3n) + -1(7 + -2n) = 4n
-18 + 3n + (7 * -1 + -2n * -1) = 4n
-18 + 3n + (-7 + 2n) = 4n

Reorder the terms:
-18 + -7 + 3n + 2n = 4n

Combine like terms: -18 + -7 = -25
-25 + 3n + 2n = 4n

Combine like terms: 3n + 2n = 5n
-25 + 5n = 4n

Solving
-25 + 5n = 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-25 + 5n + -4n = 4n + -4n

Combine like terms: 5n + -4n = 1n
-25 + 1n = 4n + -4n

Combine like terms: 4n + -4n = 0
-25 + 1n = 0

Add '25' to each side of the equation.
-25 + 25 + 1n = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 1n = 0 + 25
1n = 0 + 25

Combine like terms: 0 + 25 = 25
1n = 25

Divide each side by '1'.
n = 25

Simplifying
n = 25

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