(4n-5)+(6-7n)=20

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Solution for (4n-5)+(6-7n)=20 equation:


Simplifying
(4n + -5) + (6 + -7n) = 20

Reorder the terms:
(-5 + 4n) + (6 + -7n) = 20

Remove parenthesis around (-5 + 4n)
-5 + 4n + (6 + -7n) = 20

Remove parenthesis around (6 + -7n)
-5 + 4n + 6 + -7n = 20

Reorder the terms:
-5 + 6 + 4n + -7n = 20

Combine like terms: -5 + 6 = 1
1 + 4n + -7n = 20

Combine like terms: 4n + -7n = -3n
1 + -3n = 20

Solving
1 + -3n = 20

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -3n = 20 + -1

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

Combine like terms: 20 + -1 = 19
-3n = 19

Divide each side by '-3'.
n = -6.333333333

Simplifying
n = -6.333333333

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