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

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


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

Reorder the terms:
3(5 + 2n) = 7(7n + 5) + 2
(5 * 3 + 2n * 3) = 7(7n + 5) + 2
(15 + 6n) = 7(7n + 5) + 2

Reorder the terms:
15 + 6n = 7(5 + 7n) + 2
15 + 6n = (5 * 7 + 7n * 7) + 2
15 + 6n = (35 + 49n) + 2

Reorder the terms:
15 + 6n = 35 + 2 + 49n

Combine like terms: 35 + 2 = 37
15 + 6n = 37 + 49n

Solving
15 + 6n = 37 + 49n

Solving for variable 'n'.

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

Add '-49n' to each side of the equation.
15 + 6n + -49n = 37 + 49n + -49n

Combine like terms: 6n + -49n = -43n
15 + -43n = 37 + 49n + -49n

Combine like terms: 49n + -49n = 0
15 + -43n = 37 + 0
15 + -43n = 37

Add '-15' to each side of the equation.
15 + -15 + -43n = 37 + -15

Combine like terms: 15 + -15 = 0
0 + -43n = 37 + -15
-43n = 37 + -15

Combine like terms: 37 + -15 = 22
-43n = 22

Divide each side by '-43'.
n = -0.511627907

Simplifying
n = -0.511627907

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