2(3n+5)=7(6n+3)+1

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Solution for 2(3n+5)=7(6n+3)+1 equation: 


Simplifying
2(3n + 5) = 7(6n + 3) + 1

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

Reorder the terms:
10 + 6n = 7(3 + 6n) + 1
10 + 6n = (3 * 7 + 6n * 7) + 1
10 + 6n = (21 + 42n) + 1

Reorder the terms:
10 + 6n = 21 + 1 + 42n

Combine like terms: 21 + 1 = 22
10 + 6n = 22 + 42n

Solving
10 + 6n = 22 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
10 + 6n + -42n = 22 + 42n + -42n

Combine like terms: 6n + -42n = -36n
10 + -36n = 22 + 42n + -42n

Combine like terms: 42n + -42n = 0
10 + -36n = 22 + 0
10 + -36n = 22

Add '-10' to each side of the equation.
10 + -10 + -36n = 22 + -10

Combine like terms: 10 + -10 = 0
0 + -36n = 22 + -10
-36n = 22 + -10

Combine like terms: 22 + -10 = 12
-36n = 12

Divide each side by '-36'.
n = -0.3333333333

Simplifying
n = -0.3333333333

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