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

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Solution for 2-n=4(5n-6)+5n equation:


Simplifying
2 + -1n = 4(5n + -6) + 5n

Reorder the terms:
2 + -1n = 4(-6 + 5n) + 5n
2 + -1n = (-6 * 4 + 5n * 4) + 5n
2 + -1n = (-24 + 20n) + 5n

Combine like terms: 20n + 5n = 25n
2 + -1n = -24 + 25n

Solving
2 + -1n = -24 + 25n

Solving for variable 'n'.

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

Add '-25n' to each side of the equation.
2 + -1n + -25n = -24 + 25n + -25n

Combine like terms: -1n + -25n = -26n
2 + -26n = -24 + 25n + -25n

Combine like terms: 25n + -25n = 0
2 + -26n = -24 + 0
2 + -26n = -24

Add '-2' to each side of the equation.
2 + -2 + -26n = -24 + -2

Combine like terms: 2 + -2 = 0
0 + -26n = -24 + -2
-26n = -24 + -2

Combine like terms: -24 + -2 = -26
-26n = -26

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

Simplifying
n = 1

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