8(3n+4)=6(8n+5)+3

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Solution for 8(3n+4)=6(8n+5)+3 equation: 


Simplifying
8(3n + 4) = 6(8n + 5) + 3

Reorder the terms:
8(4 + 3n) = 6(8n + 5) + 3
(4 * 8 + 3n * 8) = 6(8n + 5) + 3
(32 + 24n) = 6(8n + 5) + 3

Reorder the terms:
32 + 24n = 6(5 + 8n) + 3
32 + 24n = (5 * 6 + 8n * 6) + 3
32 + 24n = (30 + 48n) + 3

Reorder the terms:
32 + 24n = 30 + 3 + 48n

Combine like terms: 30 + 3 = 33
32 + 24n = 33 + 48n

Solving
32 + 24n = 33 + 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.
32 + 24n + -48n = 33 + 48n + -48n

Combine like terms: 24n + -48n = -24n
32 + -24n = 33 + 48n + -48n

Combine like terms: 48n + -48n = 0
32 + -24n = 33 + 0
32 + -24n = 33

Add '-32' to each side of the equation.
32 + -32 + -24n = 33 + -32

Combine like terms: 32 + -32 = 0
0 + -24n = 33 + -32
-24n = 33 + -32

Combine like terms: 33 + -32 = 1
-24n = 1

Divide each side by '-24'.
n = -0.04166666667

Simplifying
n = -0.04166666667

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