5(7n-6)=24+8n

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Solution for 5(7n-6)=24+8n equation:


Simplifying
5(7n + -6) = 24 + 8n

Reorder the terms:
5(-6 + 7n) = 24 + 8n
(-6 * 5 + 7n * 5) = 24 + 8n
(-30 + 35n) = 24 + 8n

Solving
-30 + 35n = 24 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-30 + 35n + -8n = 24 + 8n + -8n

Combine like terms: 35n + -8n = 27n
-30 + 27n = 24 + 8n + -8n

Combine like terms: 8n + -8n = 0
-30 + 27n = 24 + 0
-30 + 27n = 24

Add '30' to each side of the equation.
-30 + 30 + 27n = 24 + 30

Combine like terms: -30 + 30 = 0
0 + 27n = 24 + 30
27n = 24 + 30

Combine like terms: 24 + 30 = 54
27n = 54

Divide each side by '27'.
n = 2

Simplifying
n = 2

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