4(2n+4)=7(3n+1)+2

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Solution for 4(2n+4)=7(3n+1)+2 equation: 


Simplifying
4(2n + 4) = 7(3n + 1) + 2

Reorder the terms:
4(4 + 2n) = 7(3n + 1) + 2
(4 * 4 + 2n * 4) = 7(3n + 1) + 2
(16 + 8n) = 7(3n + 1) + 2

Reorder the terms:
16 + 8n = 7(1 + 3n) + 2
16 + 8n = (1 * 7 + 3n * 7) + 2
16 + 8n = (7 + 21n) + 2

Reorder the terms:
16 + 8n = 7 + 2 + 21n

Combine like terms: 7 + 2 = 9
16 + 8n = 9 + 21n

Solving
16 + 8n = 9 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
16 + 8n + -21n = 9 + 21n + -21n

Combine like terms: 8n + -21n = -13n
16 + -13n = 9 + 21n + -21n

Combine like terms: 21n + -21n = 0
16 + -13n = 9 + 0
16 + -13n = 9

Add '-16' to each side of the equation.
16 + -16 + -13n = 9 + -16

Combine like terms: 16 + -16 = 0
0 + -13n = 9 + -16
-13n = 9 + -16

Combine like terms: 9 + -16 = -7
-13n = -7

Divide each side by '-13'.
n = 0.5384615385

Simplifying
n = 0.5384615385

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