14+(n-1)*7=84

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Solution for 14+(n-1)*7=84 equation: 


Simplifying
14 + (n + -1) * 7 = 84

Reorder the terms:
14 + (-1 + n) * 7 = 84

Reorder the terms for easier multiplication:
14 + 7(-1 + n) = 84
14 + (-1 * 7 + n * 7) = 84
14 + (-7 + 7n) = 84

Combine like terms: 14 + -7 = 7
7 + 7n = 84

Solving
7 + 7n = 84

Solving for variable 'n'.

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

Add '-7' to each side of the equation.
7 + -7 + 7n = 84 + -7

Combine like terms: 7 + -7 = 0
0 + 7n = 84 + -7
7n = 84 + -7

Combine like terms: 84 + -7 = 77
7n = 77

Divide each side by '7'.
n = 11

Simplifying
n = 11

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