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

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


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

Reorder the terms:
4(-3 + n) + -2(n + 6) = -3(n + 6) + 4
(-3 * 4 + n * 4) + -2(n + 6) = -3(n + 6) + 4
(-12 + 4n) + -2(n + 6) = -3(n + 6) + 4

Reorder the terms:
-12 + 4n + -2(6 + n) = -3(n + 6) + 4
-12 + 4n + (6 * -2 + n * -2) = -3(n + 6) + 4
-12 + 4n + (-12 + -2n) = -3(n + 6) + 4

Reorder the terms:
-12 + -12 + 4n + -2n = -3(n + 6) + 4

Combine like terms: -12 + -12 = -24
-24 + 4n + -2n = -3(n + 6) + 4

Combine like terms: 4n + -2n = 2n
-24 + 2n = -3(n + 6) + 4

Reorder the terms:
-24 + 2n = -3(6 + n) + 4
-24 + 2n = (6 * -3 + n * -3) + 4
-24 + 2n = (-18 + -3n) + 4

Reorder the terms:
-24 + 2n = -18 + 4 + -3n

Combine like terms: -18 + 4 = -14
-24 + 2n = -14 + -3n

Solving
-24 + 2n = -14 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-24 + 2n + 3n = -14 + -3n + 3n

Combine like terms: 2n + 3n = 5n
-24 + 5n = -14 + -3n + 3n

Combine like terms: -3n + 3n = 0
-24 + 5n = -14 + 0
-24 + 5n = -14

Add '24' to each side of the equation.
-24 + 24 + 5n = -14 + 24

Combine like terms: -24 + 24 = 0
0 + 5n = -14 + 24
5n = -14 + 24

Combine like terms: -14 + 24 = 10
5n = 10

Divide each side by '5'.
n = 2

Simplifying
n = 2

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