7(5n+6)=6n+13

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Solution for 7(5n+6)=6n+13 equation:


Simplifying
7(5n + 6) = 6n + 13

Reorder the terms:
7(6 + 5n) = 6n + 13
(6 * 7 + 5n * 7) = 6n + 13
(42 + 35n) = 6n + 13

Reorder the terms:
42 + 35n = 13 + 6n

Solving
42 + 35n = 13 + 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.
42 + 35n + -6n = 13 + 6n + -6n

Combine like terms: 35n + -6n = 29n
42 + 29n = 13 + 6n + -6n

Combine like terms: 6n + -6n = 0
42 + 29n = 13 + 0
42 + 29n = 13

Add '-42' to each side of the equation.
42 + -42 + 29n = 13 + -42

Combine like terms: 42 + -42 = 0
0 + 29n = 13 + -42
29n = 13 + -42

Combine like terms: 13 + -42 = -29
29n = -29

Divide each side by '29'.
n = -1

Simplifying
n = -1

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