64=6(5n+1)-2

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Solution for 64=6(5n+1)-2 equation:


Simplifying
64 = 6(5n + 1) + -2

Reorder the terms:
64 = 6(1 + 5n) + -2
64 = (1 * 6 + 5n * 6) + -2
64 = (6 + 30n) + -2

Reorder the terms:
64 = 6 + -2 + 30n

Combine like terms: 6 + -2 = 4
64 = 4 + 30n

Solving
64 = 4 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
64 + -30n = 4 + 30n + -30n

Combine like terms: 30n + -30n = 0
64 + -30n = 4 + 0
64 + -30n = 4

Add '-64' to each side of the equation.
64 + -64 + -30n = 4 + -64

Combine like terms: 64 + -64 = 0
0 + -30n = 4 + -64
-30n = 4 + -64

Combine like terms: 4 + -64 = -60
-30n = -60

Divide each side by '-30'.
n = 2

Simplifying
n = 2

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