12n-3=7(n-4)+4n

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Solution for 12n-3=7(n-4)+4n equation:


Simplifying
12n + -3 = 7(n + -4) + 4n

Reorder the terms:
-3 + 12n = 7(n + -4) + 4n

Reorder the terms:
-3 + 12n = 7(-4 + n) + 4n
-3 + 12n = (-4 * 7 + n * 7) + 4n
-3 + 12n = (-28 + 7n) + 4n

Combine like terms: 7n + 4n = 11n
-3 + 12n = -28 + 11n

Solving
-3 + 12n = -28 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
-3 + 12n + -11n = -28 + 11n + -11n

Combine like terms: 12n + -11n = 1n
-3 + 1n = -28 + 11n + -11n

Combine like terms: 11n + -11n = 0
-3 + 1n = -28 + 0
-3 + 1n = -28

Add '3' to each side of the equation.
-3 + 3 + 1n = -28 + 3

Combine like terms: -3 + 3 = 0
0 + 1n = -28 + 3
1n = -28 + 3

Combine like terms: -28 + 3 = -25
1n = -25

Divide each side by '1'.
n = -25

Simplifying
n = -25

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