4(3n+4)=8(5n+2)+4

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Solution for 4(3n+4)=8(5n+2)+4 equation: 


Simplifying
4(3n + 4) = 8(5n + 2) + 4

Reorder the terms:
4(4 + 3n) = 8(5n + 2) + 4
(4 * 4 + 3n * 4) = 8(5n + 2) + 4
(16 + 12n) = 8(5n + 2) + 4

Reorder the terms:
16 + 12n = 8(2 + 5n) + 4
16 + 12n = (2 * 8 + 5n * 8) + 4
16 + 12n = (16 + 40n) + 4

Reorder the terms:
16 + 12n = 16 + 4 + 40n

Combine like terms: 16 + 4 = 20
16 + 12n = 20 + 40n

Solving
16 + 12n = 20 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
16 + 12n + -40n = 20 + 40n + -40n

Combine like terms: 12n + -40n = -28n
16 + -28n = 20 + 40n + -40n

Combine like terms: 40n + -40n = 0
16 + -28n = 20 + 0
16 + -28n = 20

Add '-16' to each side of the equation.
16 + -16 + -28n = 20 + -16

Combine like terms: 16 + -16 = 0
0 + -28n = 20 + -16
-28n = 20 + -16

Combine like terms: 20 + -16 = 4
-28n = 4

Divide each side by '-28'.
n = -0.1428571429

Simplifying
n = -0.1428571429

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