336=7(7n+6)

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Solution for 336=7(7n+6) equation:


Simplifying
336 = 7(7n + 6)

Reorder the terms:
336 = 7(6 + 7n)
336 = (6 * 7 + 7n * 7)
336 = (42 + 49n)

Solving
336 = 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.
336 + -49n = 42 + 49n + -49n

Combine like terms: 49n + -49n = 0
336 + -49n = 42 + 0
336 + -49n = 42

Add '-336' to each side of the equation.
336 + -336 + -49n = 42 + -336

Combine like terms: 336 + -336 = 0
0 + -49n = 42 + -336
-49n = 42 + -336

Combine like terms: 42 + -336 = -294
-49n = -294

Divide each side by '-49'.
n = 6

Simplifying
n = 6

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