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

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


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

Reorder the terms:
8(5 + 2n) = 6(6n + 4) + 2
(5 * 8 + 2n * 8) = 6(6n + 4) + 2
(40 + 16n) = 6(6n + 4) + 2

Reorder the terms:
40 + 16n = 6(4 + 6n) + 2
40 + 16n = (4 * 6 + 6n * 6) + 2
40 + 16n = (24 + 36n) + 2

Reorder the terms:
40 + 16n = 24 + 2 + 36n

Combine like terms: 24 + 2 = 26
40 + 16n = 26 + 36n

Solving
40 + 16n = 26 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
40 + 16n + -36n = 26 + 36n + -36n

Combine like terms: 16n + -36n = -20n
40 + -20n = 26 + 36n + -36n

Combine like terms: 36n + -36n = 0
40 + -20n = 26 + 0
40 + -20n = 26

Add '-40' to each side of the equation.
40 + -40 + -20n = 26 + -40

Combine like terms: 40 + -40 = 0
0 + -20n = 26 + -40
-20n = 26 + -40

Combine like terms: 26 + -40 = -14
-20n = -14

Divide each side by '-20'.
n = 0.7

Simplifying
n = 0.7

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