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

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


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

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

Reorder the terms:
-18 + 6n = 4(2 + n)
-18 + 6n = (2 * 4 + n * 4)
-18 + 6n = (8 + 4n)

Solving
-18 + 6n = 8 + 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.
-18 + 6n + -4n = 8 + 4n + -4n

Combine like terms: 6n + -4n = 2n
-18 + 2n = 8 + 4n + -4n

Combine like terms: 4n + -4n = 0
-18 + 2n = 8 + 0
-18 + 2n = 8

Add '18' to each side of the equation.
-18 + 18 + 2n = 8 + 18

Combine like terms: -18 + 18 = 0
0 + 2n = 8 + 18
2n = 8 + 18

Combine like terms: 8 + 18 = 26
2n = 26

Divide each side by '2'.
n = 13

Simplifying
n = 13

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