6(5-n)=40+4n

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


Simplifying
6(5 + -1n) = 40 + 4n
(5 * 6 + -1n * 6) = 40 + 4n
(30 + -6n) = 40 + 4n

Solving
30 + -6n = 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.
30 + -6n + -4n = 40 + 4n + -4n

Combine like terms: -6n + -4n = -10n
30 + -10n = 40 + 4n + -4n

Combine like terms: 4n + -4n = 0
30 + -10n = 40 + 0
30 + -10n = 40

Add '-30' to each side of the equation.
30 + -30 + -10n = 40 + -30

Combine like terms: 30 + -30 = 0
0 + -10n = 40 + -30
-10n = 40 + -30

Combine like terms: 40 + -30 = 10
-10n = 10

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

Simplifying
n = -1

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