5(4n+4)=3(5n-2)+6n

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Solution for 5(4n+4)=3(5n-2)+6n equation:


Simplifying
5(4n + 4) = 3(5n + -2) + 6n

Reorder the terms:
5(4 + 4n) = 3(5n + -2) + 6n
(4 * 5 + 4n * 5) = 3(5n + -2) + 6n
(20 + 20n) = 3(5n + -2) + 6n

Reorder the terms:
20 + 20n = 3(-2 + 5n) + 6n
20 + 20n = (-2 * 3 + 5n * 3) + 6n
20 + 20n = (-6 + 15n) + 6n

Combine like terms: 15n + 6n = 21n
20 + 20n = -6 + 21n

Solving
20 + 20n = -6 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
20 + 20n + -21n = -6 + 21n + -21n

Combine like terms: 20n + -21n = -1n
20 + -1n = -6 + 21n + -21n

Combine like terms: 21n + -21n = 0
20 + -1n = -6 + 0
20 + -1n = -6

Add '-20' to each side of the equation.
20 + -20 + -1n = -6 + -20

Combine like terms: 20 + -20 = 0
0 + -1n = -6 + -20
-1n = -6 + -20

Combine like terms: -6 + -20 = -26
-1n = -26

Divide each side by '-1'.
n = 26

Simplifying
n = 26

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