(n+5)*6=78

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Solution for (n+5)*6=78 equation:


Simplifying
(n + 5) * 6 = 78

Reorder the terms:
(5 + n) * 6 = 78

Reorder the terms for easier multiplication:
6(5 + n) = 78
(5 * 6 + n * 6) = 78
(30 + 6n) = 78

Solving
30 + 6n = 78

Solving for variable 'n'.

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

Add '-30' to each side of the equation.
30 + -30 + 6n = 78 + -30

Combine like terms: 30 + -30 = 0
0 + 6n = 78 + -30
6n = 78 + -30

Combine like terms: 78 + -30 = 48
6n = 48

Divide each side by '6'.
n = 8

Simplifying
n = 8

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