6(2n+4)=8(6n+3)+5

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Solution for 6(2n+4)=8(6n+3)+5 equation:


Simplifying
6(2n + 4) = 8(6n + 3) + 5

Reorder the terms:
6(4 + 2n) = 8(6n + 3) + 5
(4 * 6 + 2n * 6) = 8(6n + 3) + 5
(24 + 12n) = 8(6n + 3) + 5

Reorder the terms:
24 + 12n = 8(3 + 6n) + 5
24 + 12n = (3 * 8 + 6n * 8) + 5
24 + 12n = (24 + 48n) + 5

Reorder the terms:
24 + 12n = 24 + 5 + 48n

Combine like terms: 24 + 5 = 29
24 + 12n = 29 + 48n

Solving
24 + 12n = 29 + 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.
24 + 12n + -48n = 29 + 48n + -48n

Combine like terms: 12n + -48n = -36n
24 + -36n = 29 + 48n + -48n

Combine like terms: 48n + -48n = 0
24 + -36n = 29 + 0
24 + -36n = 29

Add '-24' to each side of the equation.
24 + -24 + -36n = 29 + -24

Combine like terms: 24 + -24 = 0
0 + -36n = 29 + -24
-36n = 29 + -24

Combine like terms: 29 + -24 = 5
-36n = 5

Divide each side by '-36'.
n = -0.1388888889

Simplifying
n = -0.1388888889

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