4(n+5)=-8-6(n-3)

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Solution for 4(n+5)=-8-6(n-3) equation: 


Simplifying
4(n + 5) = -8 + -6(n + -3)

Reorder the terms:
4(5 + n) = -8 + -6(n + -3)
(5 * 4 + n * 4) = -8 + -6(n + -3)
(20 + 4n) = -8 + -6(n + -3)

Reorder the terms:
20 + 4n = -8 + -6(-3 + n)
20 + 4n = -8 + (-3 * -6 + n * -6)
20 + 4n = -8 + (18 + -6n)

Combine like terms: -8 + 18 = 10
20 + 4n = 10 + -6n

Solving
20 + 4n = 10 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
20 + 4n + 6n = 10 + -6n + 6n

Combine like terms: 4n + 6n = 10n
20 + 10n = 10 + -6n + 6n

Combine like terms: -6n + 6n = 0
20 + 10n = 10 + 0
20 + 10n = 10

Add '-20' to each side of the equation.
20 + -20 + 10n = 10 + -20

Combine like terms: 20 + -20 = 0
0 + 10n = 10 + -20
10n = 10 + -20

Combine like terms: 10 + -20 = -10
10n = -10

Divide each side by '10'.
n = -1

Simplifying
n = -1

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