9(3n+5)=7(8n+5)+2

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Solution for 9(3n+5)=7(8n+5)+2 equation: 


Simplifying
9(3n + 5) = 7(8n + 5) + 2

Reorder the terms:
9(5 + 3n) = 7(8n + 5) + 2
(5 * 9 + 3n * 9) = 7(8n + 5) + 2
(45 + 27n) = 7(8n + 5) + 2

Reorder the terms:
45 + 27n = 7(5 + 8n) + 2
45 + 27n = (5 * 7 + 8n * 7) + 2
45 + 27n = (35 + 56n) + 2

Reorder the terms:
45 + 27n = 35 + 2 + 56n

Combine like terms: 35 + 2 = 37
45 + 27n = 37 + 56n

Solving
45 + 27n = 37 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
45 + 27n + -56n = 37 + 56n + -56n

Combine like terms: 27n + -56n = -29n
45 + -29n = 37 + 56n + -56n

Combine like terms: 56n + -56n = 0
45 + -29n = 37 + 0
45 + -29n = 37

Add '-45' to each side of the equation.
45 + -45 + -29n = 37 + -45

Combine like terms: 45 + -45 = 0
0 + -29n = 37 + -45
-29n = 37 + -45

Combine like terms: 37 + -45 = -8
-29n = -8

Divide each side by '-29'.
n = 0.275862069

Simplifying
n = 0.275862069

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