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

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


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

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

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

Reorder the terms:
20 + -4n = 18 + 6 + -3n

Combine like terms: 18 + 6 = 24
20 + -4n = 24 + -3n

Solving
20 + -4n = 24 + -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 + -4n + 3n = 24 + -3n + 3n

Combine like terms: -4n + 3n = -1n
20 + -1n = 24 + -3n + 3n

Combine like terms: -3n + 3n = 0
20 + -1n = 24 + 0
20 + -1n = 24

Add '-20' to each side of the equation.
20 + -20 + -1n = 24 + -20

Combine like terms: 20 + -20 = 0
0 + -1n = 24 + -20
-1n = 24 + -20

Combine like terms: 24 + -20 = 4
-1n = 4

Divide each side by '-1'.
n = -4

Simplifying
n = -4

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