4(n-5)=6n+8

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Solution for 4(n-5)=6n+8 equation:


Simplifying
4(n + -5) = 6n + 8

Reorder the terms:
4(-5 + n) = 6n + 8
(-5 * 4 + n * 4) = 6n + 8
(-20 + 4n) = 6n + 8

Reorder the terms:
-20 + 4n = 8 + 6n

Solving
-20 + 4n = 8 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-20 + 4n + -6n = 8 + 6n + -6n

Combine like terms: 4n + -6n = -2n
-20 + -2n = 8 + 6n + -6n

Combine like terms: 6n + -6n = 0
-20 + -2n = 8 + 0
-20 + -2n = 8

Add '20' to each side of the equation.
-20 + 20 + -2n = 8 + 20

Combine like terms: -20 + 20 = 0
0 + -2n = 8 + 20
-2n = 8 + 20

Combine like terms: 8 + 20 = 28
-2n = 28

Divide each side by '-2'.
n = -14

Simplifying
n = -14

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