4[1-3n]-14=4[2n+3]-9n

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Solution for 4[1-3n]-14=4[2n+3]-9n equation:


Simplifying
4[1 + -3n] + -14 = 4[2n + 3] + -9n
[1 * 4 + -3n * 4] + -14 = 4[2n + 3] + -9n
[4 + -12n] + -14 = 4[2n + 3] + -9n

Reorder the terms:
4 + -14 + -12n = 4[2n + 3] + -9n

Combine like terms: 4 + -14 = -10
-10 + -12n = 4[2n + 3] + -9n

Reorder the terms:
-10 + -12n = 4[3 + 2n] + -9n
-10 + -12n = [3 * 4 + 2n * 4] + -9n
-10 + -12n = [12 + 8n] + -9n

Combine like terms: 8n + -9n = -1n
-10 + -12n = 12 + -1n

Solving
-10 + -12n = 12 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-10 + -12n + n = 12 + -1n + n

Combine like terms: -12n + n = -11n
-10 + -11n = 12 + -1n + n

Combine like terms: -1n + n = 0
-10 + -11n = 12 + 0
-10 + -11n = 12

Add '10' to each side of the equation.
-10 + 10 + -11n = 12 + 10

Combine like terms: -10 + 10 = 0
0 + -11n = 12 + 10
-11n = 12 + 10

Combine like terms: 12 + 10 = 22
-11n = 22

Divide each side by '-11'.
n = -2

Simplifying
n = -2

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