3(5-4n)=5(3+n)-n+10

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Solution for 3(5-4n)=5(3+n)-n+10 equation: 


Simplifying
3(5 + -4n) = 5(3 + n) + -1n + 10
(5 * 3 + -4n * 3) = 5(3 + n) + -1n + 10
(15 + -12n) = 5(3 + n) + -1n + 10
15 + -12n = (3 * 5 + n * 5) + -1n + 10
15 + -12n = (15 + 5n) + -1n + 10

Reorder the terms:
15 + -12n = 15 + 10 + 5n + -1n

Combine like terms: 15 + 10 = 25
15 + -12n = 25 + 5n + -1n

Combine like terms: 5n + -1n = 4n
15 + -12n = 25 + 4n

Solving
15 + -12n = 25 + 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.
15 + -12n + -4n = 25 + 4n + -4n

Combine like terms: -12n + -4n = -16n
15 + -16n = 25 + 4n + -4n

Combine like terms: 4n + -4n = 0
15 + -16n = 25 + 0
15 + -16n = 25

Add '-15' to each side of the equation.
15 + -15 + -16n = 25 + -15

Combine like terms: 15 + -15 = 0
0 + -16n = 25 + -15
-16n = 25 + -15

Combine like terms: 25 + -15 = 10
-16n = 10

Divide each side by '-16'.
n = -0.625

Simplifying
n = -0.625

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