7(7n+1)=7+6n

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


Simplifying
7(7n + 1) = 7 + 6n

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

Add '-7' to each side of the equation.
7 + -7 + 49n = 7 + -7 + 6n

Combine like terms: 7 + -7 = 0
0 + 49n = 7 + -7 + 6n
49n = 7 + -7 + 6n

Combine like terms: 7 + -7 = 0
49n = 0 + 6n
49n = 6n

Solving
49n = 6n

Solving for variable 'n'.

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

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

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

Combine like terms: 6n + -6n = 0
43n = 0

Divide each side by '43'.
n = 0

Simplifying
n = 0

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