6(2n+5)=8(4n+8)+2

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Solution for 6(2n+5)=8(4n+8)+2 equation: 


Simplifying
6(2n + 5) = 8(4n + 8) + 2

Reorder the terms:
6(5 + 2n) = 8(4n + 8) + 2
(5 * 6 + 2n * 6) = 8(4n + 8) + 2
(30 + 12n) = 8(4n + 8) + 2

Reorder the terms:
30 + 12n = 8(8 + 4n) + 2
30 + 12n = (8 * 8 + 4n * 8) + 2
30 + 12n = (64 + 32n) + 2

Reorder the terms:
30 + 12n = 64 + 2 + 32n

Combine like terms: 64 + 2 = 66
30 + 12n = 66 + 32n

Solving
30 + 12n = 66 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
30 + 12n + -32n = 66 + 32n + -32n

Combine like terms: 12n + -32n = -20n
30 + -20n = 66 + 32n + -32n

Combine like terms: 32n + -32n = 0
30 + -20n = 66 + 0
30 + -20n = 66

Add '-30' to each side of the equation.
30 + -30 + -20n = 66 + -30

Combine like terms: 30 + -30 = 0
0 + -20n = 66 + -30
-20n = 66 + -30

Combine like terms: 66 + -30 = 36
-20n = 36

Divide each side by '-20'.
n = -1.8

Simplifying
n = -1.8

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