4(3n+4)=8(7n+1)+6

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Solution for 4(3n+4)=8(7n+1)+6 equation: 


Simplifying
4(3n + 4) = 8(7n + 1) + 6

Reorder the terms:
4(4 + 3n) = 8(7n + 1) + 6
(4 * 4 + 3n * 4) = 8(7n + 1) + 6
(16 + 12n) = 8(7n + 1) + 6

Reorder the terms:
16 + 12n = 8(1 + 7n) + 6
16 + 12n = (1 * 8 + 7n * 8) + 6
16 + 12n = (8 + 56n) + 6

Reorder the terms:
16 + 12n = 8 + 6 + 56n

Combine like terms: 8 + 6 = 14
16 + 12n = 14 + 56n

Solving
16 + 12n = 14 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
16 + 12n + -56n = 14 + 56n + -56n

Combine like terms: 12n + -56n = -44n
16 + -44n = 14 + 56n + -56n

Combine like terms: 56n + -56n = 0
16 + -44n = 14 + 0
16 + -44n = 14

Add '-16' to each side of the equation.
16 + -16 + -44n = 14 + -16

Combine like terms: 16 + -16 = 0
0 + -44n = 14 + -16
-44n = 14 + -16

Combine like terms: 14 + -16 = -2
-44n = -2

Divide each side by '-44'.
n = 0.04545454545

Simplifying
n = 0.04545454545

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