91=7(7n+6)

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Solution for 91=7(7n+6) equation:


Simplifying
91 = 7(7n + 6)

Reorder the terms:
91 = 7(6 + 7n)
91 = (6 * 7 + 7n * 7)
91 = (42 + 49n)

Solving
91 = 42 + 49n

Solving for variable 'n'.

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

Add '-49n' to each side of the equation.
91 + -49n = 42 + 49n + -49n

Combine like terms: 49n + -49n = 0
91 + -49n = 42 + 0
91 + -49n = 42

Add '-91' to each side of the equation.
91 + -91 + -49n = 42 + -91

Combine like terms: 91 + -91 = 0
0 + -49n = 42 + -91
-49n = 42 + -91

Combine like terms: 42 + -91 = -49
-49n = -49

Divide each side by '-49'.
n = 1

Simplifying
n = 1

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