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

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


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

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

Reorder the terms:
-5 + 5n = -5(6 + 4n)
-5 + 5n = (6 * -5 + 4n * -5)
-5 + 5n = (-30 + -20n)

Solving
-5 + 5n = -30 + -20n

Solving for variable 'n'.

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

Add '20n' to each side of the equation.
-5 + 5n + 20n = -30 + -20n + 20n

Combine like terms: 5n + 20n = 25n
-5 + 25n = -30 + -20n + 20n

Combine like terms: -20n + 20n = 0
-5 + 25n = -30 + 0
-5 + 25n = -30

Add '5' to each side of the equation.
-5 + 5 + 25n = -30 + 5

Combine like terms: -5 + 5 = 0
0 + 25n = -30 + 5
25n = -30 + 5

Combine like terms: -30 + 5 = -25
25n = -25

Divide each side by '25'.
n = -1

Simplifying
n = -1

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