2(3n+5)=7(5n+7)+1

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Solution for 2(3n+5)=7(5n+7)+1 equation: 


Simplifying
2(3n + 5) = 7(5n + 7) + 1

Reorder the terms:
2(5 + 3n) = 7(5n + 7) + 1
(5 * 2 + 3n * 2) = 7(5n + 7) + 1
(10 + 6n) = 7(5n + 7) + 1

Reorder the terms:
10 + 6n = 7(7 + 5n) + 1
10 + 6n = (7 * 7 + 5n * 7) + 1
10 + 6n = (49 + 35n) + 1

Reorder the terms:
10 + 6n = 49 + 1 + 35n

Combine like terms: 49 + 1 = 50
10 + 6n = 50 + 35n

Solving
10 + 6n = 50 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
10 + 6n + -35n = 50 + 35n + -35n

Combine like terms: 6n + -35n = -29n
10 + -29n = 50 + 35n + -35n

Combine like terms: 35n + -35n = 0
10 + -29n = 50 + 0
10 + -29n = 50

Add '-10' to each side of the equation.
10 + -10 + -29n = 50 + -10

Combine like terms: 10 + -10 = 0
0 + -29n = 50 + -10
-29n = 50 + -10

Combine like terms: 50 + -10 = 40
-29n = 40

Divide each side by '-29'.
n = -1.379310345

Simplifying
n = -1.379310345

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