(12n+3)-(6n+9)=(2n-14)+p

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Solution for (12n+3)-(6n+9)=(2n-14)+p equation:


Simplifying
(12n + 3) + -1(6n + 9) = (2n + -14) + p

Reorder the terms:
(3 + 12n) + -1(6n + 9) = (2n + -14) + p

Remove parenthesis around (3 + 12n)
3 + 12n + -1(6n + 9) = (2n + -14) + p

Reorder the terms:
3 + 12n + -1(9 + 6n) = (2n + -14) + p
3 + 12n + (9 * -1 + 6n * -1) = (2n + -14) + p
3 + 12n + (-9 + -6n) = (2n + -14) + p

Reorder the terms:
3 + -9 + 12n + -6n = (2n + -14) + p

Combine like terms: 3 + -9 = -6
-6 + 12n + -6n = (2n + -14) + p

Combine like terms: 12n + -6n = 6n
-6 + 6n = (2n + -14) + p

Reorder the terms:
-6 + 6n = (-14 + 2n) + p

Remove parenthesis around (-14 + 2n)
-6 + 6n = -14 + 2n + p

Solving
-6 + 6n = -14 + 2n + p

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-6 + 6n + -2n = -14 + 2n + -2n + p

Combine like terms: 6n + -2n = 4n
-6 + 4n = -14 + 2n + -2n + p

Combine like terms: 2n + -2n = 0
-6 + 4n = -14 + 0 + p
-6 + 4n = -14 + p

Add '6' to each side of the equation.
-6 + 6 + 4n = -14 + 6 + p

Combine like terms: -6 + 6 = 0
0 + 4n = -14 + 6 + p
4n = -14 + 6 + p

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

Divide each side by '4'.
n = -2 + 0.25p

Simplifying
n = -2 + 0.25p

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