1+4n=5(6n-5)

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Solution for 1+4n=5(6n-5) equation:


Simplifying
1 + 4n = 5(6n + -5)

Reorder the terms:
1 + 4n = 5(-5 + 6n)
1 + 4n = (-5 * 5 + 6n * 5)
1 + 4n = (-25 + 30n)

Solving
1 + 4n = -25 + 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.
1 + 4n + -30n = -25 + 30n + -30n

Combine like terms: 4n + -30n = -26n
1 + -26n = -25 + 30n + -30n

Combine like terms: 30n + -30n = 0
1 + -26n = -25 + 0
1 + -26n = -25

Add '-1' to each side of the equation.
1 + -1 + -26n = -25 + -1

Combine like terms: 1 + -1 = 0
0 + -26n = -25 + -1
-26n = -25 + -1

Combine like terms: -25 + -1 = -26
-26n = -26

Divide each side by '-26'.
n = 1

Simplifying
n = 1

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