4(8n+3)=2(6n+8)+1

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Solution for 4(8n+3)=2(6n+8)+1 equation: 


Simplifying
4(8n + 3) = 2(6n + 8) + 1

Reorder the terms:
4(3 + 8n) = 2(6n + 8) + 1
(3 * 4 + 8n * 4) = 2(6n + 8) + 1
(12 + 32n) = 2(6n + 8) + 1

Reorder the terms:
12 + 32n = 2(8 + 6n) + 1
12 + 32n = (8 * 2 + 6n * 2) + 1
12 + 32n = (16 + 12n) + 1

Reorder the terms:
12 + 32n = 16 + 1 + 12n

Combine like terms: 16 + 1 = 17
12 + 32n = 17 + 12n

Solving
12 + 32n = 17 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
12 + 32n + -12n = 17 + 12n + -12n

Combine like terms: 32n + -12n = 20n
12 + 20n = 17 + 12n + -12n

Combine like terms: 12n + -12n = 0
12 + 20n = 17 + 0
12 + 20n = 17

Add '-12' to each side of the equation.
12 + -12 + 20n = 17 + -12

Combine like terms: 12 + -12 = 0
0 + 20n = 17 + -12
20n = 17 + -12

Combine like terms: 17 + -12 = 5
20n = 5

Divide each side by '20'.
n = 0.25

Simplifying
n = 0.25

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