4n-5(n-3)=3(n+1)-20

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Solution for 4n-5(n-3)=3(n+1)-20 equation: 


Simplifying
4n + -5(n + -3) = 3(n + 1) + -20

Reorder the terms:
4n + -5(-3 + n) = 3(n + 1) + -20
4n + (-3 * -5 + n * -5) = 3(n + 1) + -20
4n + (15 + -5n) = 3(n + 1) + -20

Reorder the terms:
15 + 4n + -5n = 3(n + 1) + -20

Combine like terms: 4n + -5n = -1n
15 + -1n = 3(n + 1) + -20

Reorder the terms:
15 + -1n = 3(1 + n) + -20
15 + -1n = (1 * 3 + n * 3) + -20
15 + -1n = (3 + 3n) + -20

Reorder the terms:
15 + -1n = 3 + -20 + 3n

Combine like terms: 3 + -20 = -17
15 + -1n = -17 + 3n

Solving
15 + -1n = -17 + 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.
15 + -1n + -3n = -17 + 3n + -3n

Combine like terms: -1n + -3n = -4n
15 + -4n = -17 + 3n + -3n

Combine like terms: 3n + -3n = 0
15 + -4n = -17 + 0
15 + -4n = -17

Add '-15' to each side of the equation.
15 + -15 + -4n = -17 + -15

Combine like terms: 15 + -15 = 0
0 + -4n = -17 + -15
-4n = -17 + -15

Combine like terms: -17 + -15 = -32
-4n = -32

Divide each side by '-4'.
n = 8

Simplifying
n = 8

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