4(3n+1)=8(4n+6)+8

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Solution for 4(3n+1)=8(4n+6)+8 equation:


Simplifying
4(3n + 1) = 8(4n + 6) + 8

Reorder the terms:
4(1 + 3n) = 8(4n + 6) + 8
(1 * 4 + 3n * 4) = 8(4n + 6) + 8
(4 + 12n) = 8(4n + 6) + 8

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

Reorder the terms:
4 + 12n = 48 + 8 + 32n

Combine like terms: 48 + 8 = 56
4 + 12n = 56 + 32n

Solving
4 + 12n = 56 + 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.
4 + 12n + -32n = 56 + 32n + -32n

Combine like terms: 12n + -32n = -20n
4 + -20n = 56 + 32n + -32n

Combine like terms: 32n + -32n = 0
4 + -20n = 56 + 0
4 + -20n = 56

Add '-4' to each side of the equation.
4 + -4 + -20n = 56 + -4

Combine like terms: 4 + -4 = 0
0 + -20n = 56 + -4
-20n = 56 + -4

Combine like terms: 56 + -4 = 52
-20n = 52

Divide each side by '-20'.
n = -2.6

Simplifying
n = -2.6

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