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

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


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

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

Reorder the terms:
12 + 12n = 8(6 + 4n) + 4
12 + 12n = (6 * 8 + 4n * 8) + 4
12 + 12n = (48 + 32n) + 4

Reorder the terms:
12 + 12n = 48 + 4 + 32n

Combine like terms: 48 + 4 = 52
12 + 12n = 52 + 32n

Solving
12 + 12n = 52 + 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.
12 + 12n + -32n = 52 + 32n + -32n

Combine like terms: 12n + -32n = -20n
12 + -20n = 52 + 32n + -32n

Combine like terms: 32n + -32n = 0
12 + -20n = 52 + 0
12 + -20n = 52

Add '-12' to each side of the equation.
12 + -12 + -20n = 52 + -12

Combine like terms: 12 + -12 = 0
0 + -20n = 52 + -12
-20n = 52 + -12

Combine like terms: 52 + -12 = 40
-20n = 40

Divide each side by '-20'.
n = -2

Simplifying
n = -2

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