7(2n+5)=6(9n+4)+5

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Solution for 7(2n+5)=6(9n+4)+5 equation: 


Simplifying
7(2n + 5) = 6(9n + 4) + 5

Reorder the terms:
7(5 + 2n) = 6(9n + 4) + 5
(5 * 7 + 2n * 7) = 6(9n + 4) + 5
(35 + 14n) = 6(9n + 4) + 5

Reorder the terms:
35 + 14n = 6(4 + 9n) + 5
35 + 14n = (4 * 6 + 9n * 6) + 5
35 + 14n = (24 + 54n) + 5

Reorder the terms:
35 + 14n = 24 + 5 + 54n

Combine like terms: 24 + 5 = 29
35 + 14n = 29 + 54n

Solving
35 + 14n = 29 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
35 + 14n + -54n = 29 + 54n + -54n

Combine like terms: 14n + -54n = -40n
35 + -40n = 29 + 54n + -54n

Combine like terms: 54n + -54n = 0
35 + -40n = 29 + 0
35 + -40n = 29

Add '-35' to each side of the equation.
35 + -35 + -40n = 29 + -35

Combine like terms: 35 + -35 = 0
0 + -40n = 29 + -35
-40n = 29 + -35

Combine like terms: 29 + -35 = -6
-40n = -6

Divide each side by '-40'.
n = 0.15

Simplifying
n = 0.15

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