5(2n+4)=6(5n+4)+2

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Solution for 5(2n+4)=6(5n+4)+2 equation: 


Simplifying
5(2n + 4) = 6(5n + 4) + 2

Reorder the terms:
5(4 + 2n) = 6(5n + 4) + 2
(4 * 5 + 2n * 5) = 6(5n + 4) + 2
(20 + 10n) = 6(5n + 4) + 2

Reorder the terms:
20 + 10n = 6(4 + 5n) + 2
20 + 10n = (4 * 6 + 5n * 6) + 2
20 + 10n = (24 + 30n) + 2

Reorder the terms:
20 + 10n = 24 + 2 + 30n

Combine like terms: 24 + 2 = 26
20 + 10n = 26 + 30n

Solving
20 + 10n = 26 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
20 + 10n + -30n = 26 + 30n + -30n

Combine like terms: 10n + -30n = -20n
20 + -20n = 26 + 30n + -30n

Combine like terms: 30n + -30n = 0
20 + -20n = 26 + 0
20 + -20n = 26

Add '-20' to each side of the equation.
20 + -20 + -20n = 26 + -20

Combine like terms: 20 + -20 = 0
0 + -20n = 26 + -20
-20n = 26 + -20

Combine like terms: 26 + -20 = 6
-20n = 6

Divide each side by '-20'.
n = -0.3

Simplifying
n = -0.3

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