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

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


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

Reorder the terms:
-4(-5 + n) + 3n = 10 + -3n
(-5 * -4 + n * -4) + 3n = 10 + -3n
(20 + -4n) + 3n = 10 + -3n

Combine like terms: -4n + 3n = -1n
20 + -1n = 10 + -3n

Solving
20 + -1n = 10 + -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.
20 + -1n + 3n = 10 + -3n + 3n

Combine like terms: -1n + 3n = 2n
20 + 2n = 10 + -3n + 3n

Combine like terms: -3n + 3n = 0
20 + 2n = 10 + 0
20 + 2n = 10

Add '-20' to each side of the equation.
20 + -20 + 2n = 10 + -20

Combine like terms: 20 + -20 = 0
0 + 2n = 10 + -20
2n = 10 + -20

Combine like terms: 10 + -20 = -10
2n = -10

Divide each side by '2'.
n = -5

Simplifying
n = -5

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