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

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


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

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

Reorder the terms:
16 + 12n = 6(1 + 8n) + 1
16 + 12n = (1 * 6 + 8n * 6) + 1
16 + 12n = (6 + 48n) + 1

Reorder the terms:
16 + 12n = 6 + 1 + 48n

Combine like terms: 6 + 1 = 7
16 + 12n = 7 + 48n

Solving
16 + 12n = 7 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
16 + 12n + -48n = 7 + 48n + -48n

Combine like terms: 12n + -48n = -36n
16 + -36n = 7 + 48n + -48n

Combine like terms: 48n + -48n = 0
16 + -36n = 7 + 0
16 + -36n = 7

Add '-16' to each side of the equation.
16 + -16 + -36n = 7 + -16

Combine like terms: 16 + -16 = 0
0 + -36n = 7 + -16
-36n = 7 + -16

Combine like terms: 7 + -16 = -9
-36n = -9

Divide each side by '-36'.
n = 0.25

Simplifying
n = 0.25

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