2+5(2-6n)=-40-4n

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Solution for 2+5(2-6n)=-40-4n equation:


Simplifying
2 + 5(2 + -6n) = -40 + -4n
2 + (2 * 5 + -6n * 5) = -40 + -4n
2 + (10 + -30n) = -40 + -4n

Combine like terms: 2 + 10 = 12
12 + -30n = -40 + -4n

Solving
12 + -30n = -40 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
12 + -30n + 4n = -40 + -4n + 4n

Combine like terms: -30n + 4n = -26n
12 + -26n = -40 + -4n + 4n

Combine like terms: -4n + 4n = 0
12 + -26n = -40 + 0
12 + -26n = -40

Add '-12' to each side of the equation.
12 + -12 + -26n = -40 + -12

Combine like terms: 12 + -12 = 0
0 + -26n = -40 + -12
-26n = -40 + -12

Combine like terms: -40 + -12 = -52
-26n = -52

Divide each side by '-26'.
n = 2

Simplifying
n = 2

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