7+(1+5n)+6(1+4n)=13

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Solution for 7+(1+5n)+6(1+4n)=13 equation:


Simplifying
7 + (1 + 5n) + 6(1 + 4n) = 13

Remove parenthesis around (1 + 5n)
7 + 1 + 5n + 6(1 + 4n) = 13
7 + 1 + 5n + (1 * 6 + 4n * 6) = 13
7 + 1 + 5n + (6 + 24n) = 13

Reorder the terms:
7 + 1 + 6 + 5n + 24n = 13

Combine like terms: 7 + 1 = 8
8 + 6 + 5n + 24n = 13

Combine like terms: 8 + 6 = 14
14 + 5n + 24n = 13

Combine like terms: 5n + 24n = 29n
14 + 29n = 13

Solving
14 + 29n = 13

Solving for variable 'n'.

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

Add '-14' to each side of the equation.
14 + -14 + 29n = 13 + -14

Combine like terms: 14 + -14 = 0
0 + 29n = 13 + -14
29n = 13 + -14

Combine like terms: 13 + -14 = -1
29n = -1

Divide each side by '29'.
n = -0.03448275862

Simplifying
n = -0.03448275862

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