5(2n-2)=5(23n+10)

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Solution for 5(2n-2)=5(23n+10) equation:


Simplifying
5(2n + -2) = 5(23n + 10)

Reorder the terms:
5(-2 + 2n) = 5(23n + 10)
(-2 * 5 + 2n * 5) = 5(23n + 10)
(-10 + 10n) = 5(23n + 10)

Reorder the terms:
-10 + 10n = 5(10 + 23n)
-10 + 10n = (10 * 5 + 23n * 5)
-10 + 10n = (50 + 115n)

Solving
-10 + 10n = 50 + 115n

Solving for variable 'n'.

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

Add '-115n' to each side of the equation.
-10 + 10n + -115n = 50 + 115n + -115n

Combine like terms: 10n + -115n = -105n
-10 + -105n = 50 + 115n + -115n

Combine like terms: 115n + -115n = 0
-10 + -105n = 50 + 0
-10 + -105n = 50

Add '10' to each side of the equation.
-10 + 10 + -105n = 50 + 10

Combine like terms: -10 + 10 = 0
0 + -105n = 50 + 10
-105n = 50 + 10

Combine like terms: 50 + 10 = 60
-105n = 60

Divide each side by '-105'.
n = -0.5714285714

Simplifying
n = -0.5714285714

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