6(n-5)=-3(n+1)

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Solution for 6(n-5)=-3(n+1) equation:


Simplifying
6(n + -5) = -3(n + 1)

Reorder the terms:
6(-5 + n) = -3(n + 1)
(-5 * 6 + n * 6) = -3(n + 1)
(-30 + 6n) = -3(n + 1)

Reorder the terms:
-30 + 6n = -3(1 + n)
-30 + 6n = (1 * -3 + n * -3)
-30 + 6n = (-3 + -3n)

Solving
-30 + 6n = -3 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-30 + 6n + 3n = -3 + -3n + 3n

Combine like terms: 6n + 3n = 9n
-30 + 9n = -3 + -3n + 3n

Combine like terms: -3n + 3n = 0
-30 + 9n = -3 + 0
-30 + 9n = -3

Add '30' to each side of the equation.
-30 + 30 + 9n = -3 + 30

Combine like terms: -30 + 30 = 0
0 + 9n = -3 + 30
9n = -3 + 30

Combine like terms: -3 + 30 = 27
9n = 27

Divide each side by '9'.
n = 3

Simplifying
n = 3

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