6(3n+5)=7(8n+3)+1

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Solution for 6(3n+5)=7(8n+3)+1 equation: 


Simplifying
6(3n + 5) = 7(8n + 3) + 1

Reorder the terms:
6(5 + 3n) = 7(8n + 3) + 1
(5 * 6 + 3n * 6) = 7(8n + 3) + 1
(30 + 18n) = 7(8n + 3) + 1

Reorder the terms:
30 + 18n = 7(3 + 8n) + 1
30 + 18n = (3 * 7 + 8n * 7) + 1
30 + 18n = (21 + 56n) + 1

Reorder the terms:
30 + 18n = 21 + 1 + 56n

Combine like terms: 21 + 1 = 22
30 + 18n = 22 + 56n

Solving
30 + 18n = 22 + 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.
30 + 18n + -56n = 22 + 56n + -56n

Combine like terms: 18n + -56n = -38n
30 + -38n = 22 + 56n + -56n

Combine like terms: 56n + -56n = 0
30 + -38n = 22 + 0
30 + -38n = 22

Add '-30' to each side of the equation.
30 + -30 + -38n = 22 + -30

Combine like terms: 30 + -30 = 0
0 + -38n = 22 + -30
-38n = 22 + -30

Combine like terms: 22 + -30 = -8
-38n = -8

Divide each side by '-38'.
n = 0.2105263158

Simplifying
n = 0.2105263158

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